Curriculum Vitæ. Luís Filipe Pinheiro de Castro. Overview

Transcription

1 Curriculum Vitæ of Luís Filipe Pinheiro de Castro Overview Luis Castro received the (ve years) Diploma (Licenciatura) Degree from the University of Aveiro, Portugal, in 1991, the M.Sc. and Ph.D. degrees in Applied Mathematics and Mathematics from IST, Technical University of Lisbon, in 1994 and 1998, respectively. In 2004, he received the Habilitation (Agregação) Degree from University of Aveiro. From 1998 to 2000 he was in the Directive Council of Department of Mathematics of University of Aveiro; from 2000 to 2002 he was Vice-President of the Directive Board of the Centre Delegation of the Portuguese Mathematical Society; from 2001 to 2003 he was President of the Scientic-Pedagogic Council of Department of Mathematics of University of Aveiro; from 2001 to 2003 he was Coordinator of the Scientic Committee of Department of Mathematics of University of Aveiro; from January 2006 to December 2009, he was the Scientic Coordinator of the Research Unit Mathematics and Applications, which had 55 Ph.D. members and 82 elements in total. He is currently the Scientic Coordinator/Director of CIDMA - Center for Research and Development in Mathematics and Applications which is one of the largest research centers of Mathematics in Portugal (recognized by the Portuguese Foundation for Science and Technology) and has 91 Ph.D. Members, 33 Ph.D. Students and 24 Collaborators, in a total of 148 elements; see He has more than 15 years of teaching experience in Mathematics at B.Sc., M.Sc. and Ph.D. levels (being always in the group of Professors of Aveiro University Maths Department with better evaluation from the students in the University ocial evaluation system). His current research interests include several topics in the areas of Functional Analysis, Integral and Differential Equations, Operator Theory and Mathematical-Physics. In the last ten years he contributed with several publications concerning operator relations between dierent types of operator classes, Fredholm theory of classes of singular integral and pseudo-dierential operators, factorization theory of matrix-valued functions and operators (including Wiener-Hopf factorization and associated Riemann-Hilbert problems), wave diraction problems and electromagnetic theory from a mathematical viewpoint, analysis of boundary value problems in dierent domains within Sobolev type spaces, solvability of integral equations of dierent types, qualitative theory of dierential equations, approximate solutions for dierential and integral equations, Tikhonov regularization, and theory of reproducing kernel Hilbert spaces and its applications. He has contributed with over 100 peer-reviewed published papers, and gave more than 100 talks at research seminars and international conferences or workshops. He supervised 5 M.Sc. students, 5 Ph.D. students and served as adviser for 5 post-docs. His current h-index is 11, the i10-index is 17 and his research papers received 596 citations until now (of which 332 were in the last ve years) data taken from Google Scholar. Since 2009 he has been Full Professor of Mathematics at University of Aveiro, Portugal. July,

2 Address Institutional Address: Departamento de Matemática, Universidade de Aveiro, Aveiro Portugal Phone: Fax: URL: Personal Data Birth year: 1968 Nationality: Portuguese Education / Academic University Degrees [ ] Habilitation (Agregação) in Mathematics at the University of Aveiro, Portugal. [ ] [ ] [ ] Ph.D. in Mathematics (in the areas of Operator Theory and Functional Analysis), at the Department of Mathematics of Instituto Superior Técnico, Technical University of Lisbon, Portugal. Supervisor: Professor Frank-Olme Speck. M.Sc. in Applied Mathematics (in the area of Functional Analysis), at the Department of Mathematics of Instituto Superior Técnico, Technical University of Lisbon, Portugal. Supervisor: Professor Frank-Olme Speck. B.Sc. in Mathematics at the University of Aveiro, Portugal. 2

3 Previous and Current Professional Activities Professional Positions: [ present] [ ] [ ] [ ] [ ] [ ] [ ] [ ] Full Professor (with tenure), in the Department of Mathematics of University of Aveiro, Portugal. Associate Professor with Habilitation, in the Department of Mathematics of University of Aveiro, Portugal. Associate Professor, in the Department of Mathematics of University of Aveiro, Portugal. Auxiliary Professor, in the Department of Mathematics of University of Aveiro, Portugal. Teaching Assistant, in the Department of Mathematics of University of Aveiro, Portugal. Collaborator in the Department of Mathematics of University of Aveiro, Portugal (with teaching duties). Bolseiro of the Junta Nacional de Investigação Cientíca and Tecnológica, within the Science Programme, Portugal. Junior Teaching Assistant, in the Department of Mathematics of University of Aveiro, Portugal. [90/91] Docent in the Hight School n o 1 of Aveiro, Portugal. Examples of Management and Scientific Coordination Activities (in Mathematical Institutions): [ present] [ present] [ present] Member of the Consulting Commission for Research, Department of Mathematics of the University of Aveiro. Member of the Department of Mathematics Council, University of Aveiro. Scientic Coordinator/Director of the research center Centro de Investigação e Desenvolvimento em Matemática e Aplicações CIDMA, created in January 1, 2010, and recognized by the Portuguese Foundation for Science and Technology. CIDMA contains seven research groups and 148 elements in total. [ ] Scientic Coordinator of the Research Unit Matemática e Aplicações, hosted at the Department of Mathematics of the University of Aveiro (created in 1994, and had six research groups with a total of 66 elements). [ ] [ ] [ ] [ ] Coordinator of the Scientic Committee of Department of Mathematics, University of Aveiro. President of the Scientic-Pedagogic Council of the Department of Mathematics, University of Aveiro. Vice-President of the Directive Board of the Regional-Center Delegation of the Portuguese Mathematical Society. Vice-President of the Department of Mathematics of University of Aveiro. Member of Mathematical Scientific Institutions: [ present] [ present] Member of the (Portuguese) National Commission of Mathematics. Member of the (Portuguese) International Center of Mathematics. 3

4 Teaching Experience at the University of Aveiro, Portugal [since 1991] Several courses at B.Sc., M.Sc. and Ph.D. levels. Namely: Calculus I; Calculus II; Calculus III; Dierential Equations; Functional Analysis; Functional Analysis with Applications (M.Sc. level; in English and Portuguese); Higher Analysis II (M.Sc. level); Integral Equations; Liner Functional Analysis; Mathematical Analysis I; Mathematical Analysis II; Mathematical Analysis VI; Mathematical Seminars (dierent types at M.Sc. and B.Sc. levels); Research Seminar I (Ph.D. level); Research Seminar II (Ph.D. level; in English and Portuguese); Topics of Pure Mathematics (Ph.D. level; in English); Topology. Moreover, L. Castro was supervisor of Pedagogical Practice for teachers of Mathematics in the Portuguese High Schools (in seven dierent years). L. Castro have written several student text notes for almost all the above indicated courses (mostly in Portuguese). L. Castro is the author of an extensive list of proposals for implementing new or reformulations of courses and disciplines in the Mathematics area at the University of Aveiro, Portugal. L. Castro has been obtaining top evaluations in the ocial student classes evaluation system of University of Aveiro. E.g. the teaching evaluations for the academic year 2012/2013 were: 8,15 (in the scale from 0 to 9), for the Global Teaching Evaluation in the course of Mathematical Analysis I (B.Sc. level); Luís Castro was one of the six professors that were teaching this course last semester; the average of all those six professors for the Global Teaching Evaluation in this course was 6,36. 8,67 (in the scale from 0 to 9), for the Global Teaching Evaluation in the course of Functional Analysis with Applications (M.Sc. level); Luís Castro was the unique professor for this course. 4

5 Teaching Experience outside Portugal Mini-Courses for students of B.Sc. and post-graduate degrees, or integrated in workshops [MC1] [MC2] [MC3] [MC4] [MC5] An Overview about Convolution Type Operators with Applications, University of Craiova, Romania, June 2003 (in English). Operator Theory for Boundary Value Problems, University of Craiova, Romania, June 2008 (in English). Special Topics in Mathematics: Operator Theory Applied to Periodicity and Invertibility, UNESP, Campus de Ilha Solteira, Brazil, August 2011 (in Portuguese). Regularity properties of Wiener-Hopf and Hankel operators, ERASMUS Programme 2011/2012, January 2012, Department of Mathematics, University of Padua, Italy. Wave Diraction Problems from an Operator Theory Viewpoint, Minicourse within the International Workshop Analysis, Operator Theory, and Mathematical Physics, Ixtapa, México, February Editorial Work Book: Advances in Harmonic Analysis and Operator Theory The Stefan Samko Anniversary Volume (A. Almeida, L. Castro, F.-O. Speck; eds.), Operator Theory: Advances and Applications 229, Birkhäuser, Basel, Member of the Editorial Board of the Journals: Abstract and Applied Analysis Banach Journal of Mathematical Analysis International Journal of Functional Analysis, Operator Theory and Applications Libertas Mathematica (new series) MESA: Mathematics in Engineering, Science and Aerospace - A Transdisciplinary International Journal Scientific Works with New Results Theses: [T1] [T2] L. P. Castro: A Characterization of the Intermediate Space in Generalized Factorization (in Portuguese), Masters Thesis, Instituto Superior Técnico, Technical University of Lisbon, vii + 90 p., MSC2000: 47A68 47B35 45E05 47G10 L. P. Castro: Relations Between Singular Operators and Applications (in English), Ph.D. Thesis, Instituto Superior Técnico, Technical University of Lisbon, xix p., MSC2000: 47B35 47A20 45E10 47A05 47A53 47A68 47B99 15A09 35J05 42B30 78A45 5

6 [T3] L. P. Castro: Integro-Dierential Equations and Operators of Prandtl Type (in Portuguese), Detailed Summary of the Lecture for the second day of the Habillitation (Agregação) Degree Examination, University of Aveiro, 34 p., Published Papers: [A1] L. P. Castro, F.-O. Speck: On the Characterization of the Intermediate Space in Generalized Factorizations, Mathematische Nachrichten 176 (1995), MSC2000: 47B35, 45E05, 47A68, 47G10. [A2] L. P. Castro, F.-O. Speck: On the Inversion of Higher Order Wiener-Hopf Operators, Journal of Integral Equations and Applications 8 (1996), MSC2000: 47B35, 47A05. [A3] L. P. Castro, F.-O. Speck: A Fredholm Study for Convolution Operators with Piecewise Continuous Symbols on a Union of a Finite and a Semi-Innite Interval, Applicable Analysis 64 (1997), MSC2000: 47B35, 35J05, 47A53, 47A68, 47B37, 47G10. [A4] L. P. Castro: Wiener-Hopf Operators on Unions of Finite Intervals: Relations and Generalized Inversion, F. J. Cobos, J. R. Gómez, F. Mateos (eds), Meeting on Matrix Analysis and Applications, Sevilha: Departamento de Matemática Aplicada I, Universidade de Sevilha, 1997, MSC2000: 47B35, 47A05, 47A20. [A5] L. P. Castro: Integral Equations of Convolution Type on Unions of Intervals, Pitman Research Notes in Mathematics 374 (1997), MSC2000: 45E10, 47B35, 47G10, 47N20. [A6] L. P. Castro, F.-O. Speck: Regularity Properties and Generalized Inverses of Delta-Related Operators, Zeitschrift für Analysis und ihre Anwendungen (Jornal for Analysis and its Applications) 17 (1998), MSC2000: 47A05, 47A68, 45E05, 46F10, 47A53, 47B35, 15A09. [A7] L. P. Castro, F.-O. Speck: A Fredholm Study for a Sommerfeld Diraction Problem, Pitman Research Notes in Mathematics 379 (1998), MSC2000: 35J05, 47B35, 45F15, 35C15, 76Q05, 78A45. [A8] L. P. Castro, F.-O. Speck: Relations Between Convolution Type Operators on Intervals and on the Half-Line, Integral Equations and Operator Theory 37 (2000), MSC2000: 47B35, 46E10, 47A05, 46E35, 47A20, 47A68, 78A45. [A9] L. P. Castro, F.-O. Speck: An Operator Approach to a Boundary Value Problem for the Helmholtz Equation, A. Gheondea (ed.) et al, Operator Theoretical Methods, Bucharest: The Theta Foundation, 2000, MSC2000: 35J05, 45E10, 47A68, 47B35, 47F05, 35J25. [A10] L. P. Castro: A Relation Between Convolution Type Operators on Intervals in Sobolev Spaces, Applicable Analysis 74 (2000), MSC2000: 47B35, 35J25, 45E10, 47A68, 47G10. [A11] L. P. Castro: Tratamento Matemático de um Problema de Difracção de Ondas Planas por uma Barra Suave (in Portuguese), Paulo M. M. Vila Real e José J. Grácio (eds), VI Congresso Nacional de Mecânica Aplicada e Computacional, Aveiro: Universidade de Aveiro, 2000, MSC2000: 35J05, 47A68, 47B35, 78A45. 6

7 [A12] L. P. Castro: Some Relations Between Convolution Type Operators, Trudy Instituta Matematiki 5 (2000), MSC2000: 47B35, 46E35, 47B38. [A13] L. P. Castro: Solution of a Wave Diraction Problem by a Magnetic Strip, A. Bermúdez (ed.) et al, Proceedings of the Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Philadelphia: SIAM, 2000, MSC2000: 35J05, 35C99, 78A45. [A14] L. P. Castro: On the Regularity of Solutions of an Electromagnetic Wave Diraction Problem on a Strip in Bessel Potential Spaces, L. Consiglieri (ed.) et al, Proceedings of the Workshop Topics of Regularity in Partial Dierential Equations, Lisboa: CMAF/Universidade de Lisboa, 2001, MSC2000: 35B65, 35J05, 35J25, 78A45, 47B35, 45E10. [A15] L. P. Castro: Strongly Elliptic Operators for a Plane Wave Diraction Problem in Bessel Potential Spaces, Journal of Inequalities in Pure and Applied Mathematics 3 (2002), no. 2, 19. MSC2000: 78A45, 35J25, 47B35, 47A50, 47A20, 47A68. [A16] L. P. Castro, R. Duduchava, F.-O. Speck: Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions, Operator Theory: Advances and Applications 135 (2002), MSC2000: 45E05, 45F15, 46E35, 47A53, 47B35. [A17] L. P. Castro, E. M. Rocha: Existence, Uniqueness and Dierentiability of the Solution of a Functional Equation with General Delay, Annals of the University of Craiova XXIX (2002), 19. MSC2000: 45G15, 47G10, 47H10, 46T20, 58C20. [A18] L. P. Castro, F.-O. Speck: Well-Posedness of Diraction Problems Involving n Coplanar Strips, Operator Theory: Advances and Applications 142 (2003), MSC2000: 78A45, 35J05, 47B35. [A19] L. P. Castro, R. Duduchava, F.-O. Speck: Localization and Minimal Normalization of some Basic Mixed Boundary Value Problems, S. Samko, A. F. dos Santos e A. B. Lebre (eds.), Factorization, Singular Operators and Related Problems, Londres: Kluwer Academic Publishers, 2003, MSC2000: 35J40, 47A52, 47A53, 47B35. [A20] L. P. Castro: Regularity of Convolution type Operators with PC Symbols in Bessel Potential Spaces over Two Finite Intervals, Mathematische Nachrichten (2003), MSC2000: 47B35, 47G10, 47A20, 47A53, 35J25, 78A45. [A21] L. P. Castro, F.-O. Speck, F. S. Teixeira: Explicit Solution of a DirichletNeumann Wedge Diraction Problem with a Strip, Journal of Integral Equations and Applications 15 (2003), MSC2000: 35C05, 35J05, 35J25, 45E10, 47A20, 47B35. [A22] L. P. Castro: Solution of a Sommerfeld Diraction Problem with a Real Wave Number, C. Constanda (ed.) et al., Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Boston: Birkhäuser, 2004, MSC2000: 35J25, 45E10, 47A68, 47B35, 44A10. [A23] L. P. Castro, F.-O. Speck, F. S. Teixeira: On a Class of Wedge Diraction Problems posted by Erhard Meister, Operator Theory: Advances and Applications 147 (2004), MSC2000: 35J25, 30E25, 45E10, 47A53, 47A68, 47B35. [A24] L. P. Castro, F.-O. Speck, F. S. Teixeira: A Direct Approach to Convolution Type Operators with Symmetry, Mathematische Nachrichten (2004), MSC2000: 47B35, 47A68, 47A53. 7

8 [A25] L. P. Castro, A. Moura Santos: An Operator Approach for an Oblique Derivative Boundary-Transmission Problem, Mathematical Methods in the Applied Sciences 27 (2004), MSC2000: 35J25, 35J05, 78A45, 47B35, 47A53, 47A68. [A26] L. P. Castro, R. Duduchava, F.-O. Speck: Finite Interval Convolution Operators with Transmission Property, Integral Equations and Operator Theory 52 (2005), MSC2000: 47B35, 47A05, 46E35, 45E10. [A27] L. P. Castro, F.-O. Speck: Convolution Operators on Intervals and Their use in Diraction Theory, Feature Article of CIM Bulletin 19, 2005, MSC2000: 47B35, 47A05, 46E35, 45E10, 35J25, 35J05, 78A45. [A28] L. P. Castro, F.-O. Speck: Inversion of Matrix Convolution Type Operators with Symmetry, Portugaliæ Mathematica (N.S.) 62 (2005), MSC2000: 47B35, 47A68. [A29] L. P. Castro, B. Zhang: Invertibility of Convolution Operators arising in Problems of Wave Diraction by a Strip with Reactance and Dirichlet Conditions, Zeitschrift für Analysis und ihre Anwendungen (Jornal for Analysis and its Applications) 24 (2005), MSC2000: 47A05, 47A20, 47A68, 47B35, 35J05, 78A45, 42A75, 42A85, 45E10. [A30] L. P. Castro: On the Invertibility of Prandtl Type Operators in Sobolev Spaces on a Semi-Line, Proceedings of ICNPAA 2004: 5th International Conference on Mathematical Problems in Engineering and Aerospace Sciences, Cambridge Scientic Publishers, Cambridge, 2005, MSC2000: 47B35, 47A05, 47A68, 46E35, 45E10. [A31] G. Bogveradze, L. P. Castro: Wiener-Hopf plus Hankel Operators on the Real Line with Unitary and Sectorial Symbols, Contemporary Mathematics 414 (2006), MSC2000: 47B35, 47A68, 47A53. [A32] L. P. Castro, D. Natroshvili: The Potential Method for the Reactance Wave Diraction Problem in a Scale of Spaces, Georgian Mathematical Journal 13 (2006), MSC2000: 35J05, 35J25, 35P25. [A33] A. P. Nolasco, L. P. Castro: Factorization Theory for Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols, Contemporary Mathematics 414 (2006), MSC2000: 47B35, 47A68, 47A53, 42A75. [A34] L. P. Castro, R. Duduchava, F.-O. Speck: Asymmetric Factorizations of Matrix Functions on the Real Line, Operator Theory: Advances and Applications 170 (2006), MSC2000: 47A68, 15A23, 47B35, 15A21. [A35] L. P. Castro, F.-O. Speck, F. S. Teixeira Mixed Boundary Value Problems for the Helmholtz Equation in a Quadrant, Integral Equations and Operator Theory 56 (2006), 144. MSC2000: 35J25, 30E25, 47G30, 45E10, 47A53, 47A20. [A36] L. P. Castro, D. Natroshvili: The Reactance Wave Diraction Problem by a Strip in a Scale of Bessel Potential Spaces, Opuscula Mathematica 26 (2006), MSC2000: 35J05, 35J25, 47A53, 47B35, 47F05, 45E10, 78A45. [A37] L. P. Castro, D. Kapanadze: On Wave Diraction by a Half-plane with Dierent Face Impedances, Mathematical Methods in the Applied Sciences 30 (2007), MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30, 47B35. [A38] A. P. Nolasco, L. P. Castro: A Duduchava-Saginashvili's Type Theory for Wiener-Hopf plus Hankel Operators, Journal of Mathematical Analysis and Applications 331 (2007), MSC2000: 47B35, 47A68, 47A53, 42A75. [A39] L. P. Castro, D. Natroshvili, I. G. Stratis: Wave Scattering by an Elastic Obstacle with Interior Cuts, Mathematische Nachrichten 280 (2007), MSC2000: 31A10, 35J55, 74B05, 74F10. 8

9 [A40] A. P. Nolasco, L. P. Castro: A Stronger Version of the Sarason's Type Theorem for Wiener-Hopf- Hankel Operators with SAP Fourier Symbols, Bulletin of the Greek Mathematical Society 54 (2007), MSC2000: 47B35, 47A68, 47A53, 42A75. [A41] L. P. Castro, D. Kapanadze: A Boundary-Transmission Problem with First and Second Kind Conditions for the Helmholtz Equation in Besov and Bessel Potential Spaces, Bulletin of the Greek Mathematical Society 54 (2007), MSC2000: 35J05, 35J25, 35C15, 47H50. [A42] L. P. Castro, A. M. Simões: Mathematical Treatment of a Wave Diraction Problem with Higher Order Boundary Conditions, in: Trends and Challenges in Applied Mathematics (G. P ăltineanu, E. Popescu, I. Toma, Eds.). Matrix Rom Publishers (Romanian Council of Scientic Research from Higher Education), Bucharest, 2007, MSC2000: 35J05, 35J25, 78A45, 35C15, 47A20, 47B35, 45E10. [A43] G. Bogveradze, L. P. Castro: On the Fredholm Property and Index of Wiener-Hopf plus/minus Hankel Operators with Piecewise Almost Periodic Symbols, Applied Mathematics, Informatics and Mechanics 12(1) (2007), MSC2000: 47B35, 47A53, 47A68, 42A75. [A44] L. P. Castro, D. Kapanadze: The Impedance Boundary-Value Problem of Diraction by a Strip, Journal of Mathematical Analysis and Applications 337 (2008), MSC2000: 35J05, 35J25, 35C15, 47H50. [A45] L. P. Castro, A. H. Kamel: Mathieu Function and Kontorovich-Lebedev Transforms in the L-shaped Wave Scattering Problem, African Diaspora Journal of Mathematics 5 (2008), MSC2000: 30E25, 33E10, 35J05, 44A15, 45H05. [A46] L. P. Castro, E. Pesetskaya: Analytical Investigation of the Eective Properties of 2D Composite Materials, in: A. J. M. Ferreira (ed.) et al, Proceedings of the International Conference on Mathematics and Continuum Mechanics, Centro Internacional de Matemática, 2008, MSC2000: 30D05, 30E25, 35B27, 74Q05. [A47] L. P. Castro, D. Kapanadze: Pseudo-dierential Operators in a Wave Diraction Problem with Impedance Conditions, Fractional Calculus & Applied Analysis 11 (2008), MSC2000: 35J05, 35J25, 35C15, 47H50. [A48] L. P. Castro, D. Kapanadze: Dirichlet-Neumann-Impedance Boundary-Value Problems Arising in Rectangular Wedge Diraction Problems, Proceedings of the American Mathematical Society 136 (2008), MSC2000: 35J25, 35J05, 45E10, 47A20, 47G30, 47H50. [A49] G. Bogveradze, L. P. Castro: Invertibility Properties of Matrix Wiener-Hopf plus Hankel Integral Operators, Mathematical Modelling and Analysis 13(1) (2008), 716. MSC2000: 47B35, 47A53, 47A68, 42A75. [A50] L. P. Castro, E. M. Rojas: Similarity Transformation Methods for Singular Integral Operators with Reection on Weighted Lebesgue Spaces, International Journal of Modern Mathematics 3(3) (2008), MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20. [A51] G. Bogveradze, L. P. Castro: On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-Almost Periodic Symbols, Operator Theory: Advances and Applications 181 (2008), MSC2000: 47A53, 47B35, 47A68, 42A75. [A52] L. P. Castro, D. Kapanadze: Diraction by a Strip and by a Half-plane with Variable Face Impedances, Operator Theory: Advances and Applications 181 (2008), MSC2000: 35J05, 35J25, 35C15, 47H50. [A53] L. P. Castro, R. Duduchava, F.-O. Speck: Solvability of Singular Integro-Dierential Equations with Multiple Complex Shifts, Complex Analysis and Operator Theory 2(2) (2008), MSC2000: 45E10, 47B35, 47A53, 47A68. 9

10 [A54] L. P. Castro, D. Kapanadze: Wave Diraction by a 45 Degrees Wedge Sector with Dirichlet and Neumann Boundary Conditions, Mathematical and Computer Modelling 48 (2008), MSC2000: 35J05, 35J25, 35C15, 47H50, 47G30. [A55] L. P. Castro, E. M. Rojas: Reduction of Singular Integral Operators with Flip and their Fredholm Property, Lobachevskii Journal of Mathematics 29(3) (2008), MSC2000: 47G10, 47B35, 47A53, 45E05, 45F15, 47A20. [A56] L. P. Castro, D. Kapanadze: Diraction by a Union of Strips with Impedance Conditions in Besov and Bessel Potential Spaces, Mathematical Modelling and Analysis 13(2) (2008), MSC2000: 35J05, 35J25, 35C15, 47H50. [A57] G. Bogveradze, L. P. Castro: Toeplitz plus Hankel Operators with Innite Index, Integral Equations and Operator Theory 62(1) (2008), MSC2000: 47B35, 47A53, 47A68, 42A75. [A58] L. P. Castro, D. Kapanadze: Wave Diraction by a Strip with First and Second Kind Boundary Conditions: the Real Wave Number Case, Mathematische Nachrichten 281(10) (2008), MSC2000: 35J05, 35J25, 35C15, 47H50. [A59] L. P. Castro, A. Ramos: Hyers-Ulam-Rassias Stability for a Class of Nonlinear Volterra Integral Equations, Banach Journal of Mathematical Analysis 3(1) (2009), MSC2000: 45M10, 45D05, 34K20. [A60] G. Bogveradze, L. P. Castro: Invertibility Characterization of Wiener-Hopf plus Hankel Operators Via Odd Asymmetric Factorizations, Banach Journal of Mathematical Analysis 3(1) (2009), 118. MSC2000: 47B35, 47A68, 47A53. [A61] L. P. Castro, A. S. Silva: Invertibility of Matrix Wiener-Hopf plus Hankel Operators with Symbols Producing a Positive Numerical Range, Zeitschrift für Analysis und ihre Anwendungen (Jornal for Analysis and its Applications) 28(1) (2009), MSC2000: 47B35, 47A05, 47A12, 47A20, 42A75. [A62] L. P. Castro, A. M. Simões: Fredholm Analysis for a Wave Diraction Problem with Higher Order Boundary Conditions on a Union of Strips, American Institute of Physics, AIP - Conf. Proc (2009), MSC2000: 47A53, 35J25, 78A45, 47A20, 47B35, 45E10. [A63] A. P. Nolasco, L. P. Castro: A Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators with Piecewise Almost Periodic Fourier Symbols, Journal of Operator Theory 62(1) (2009), 331. MSC2000: 47B35, 47A68, 47A53, 42A75. [A64] A. P. Nolasco, L. P. Castro: A Criterion for Lateral Invertibility of Matrix Wiener-Hopf plus Hankel Operators with Good Hausdor Sets, in More Progresses in Analysis (H. Begehr, F. Nicolosi, edt.), World Scientic Publishing Co., , MSC2000: 47B35, 47A68, 47A05, 42A75. [A65] L. P. Castro, E. Rojas: Explicit Operator Relations for Singular Integral Operators with a Flip on a Weighted Lebesgue Space, in: Mathematical Problems in Engineering and Aerospace Sciences (S. Sivasundaram, ed.), Cambridge: Cambridge Scientic Publishers, 2009, MSC2000: 47G10, 47A53, 45E05, 45F15, 47A20. [A66] L. P. Castro, A. M. Simões: Fredholm Analysis for a Wave Diraction Problem with Higher Order Boundary Conditions on a Strip, in: Mathematical Problems in Engineering and Aerospace Sciences (S. Sivasundaram, ed.), Cambridge: Cambridge Scientic Publishers, 2009, MSC2000: 35L60, 47A53, 47B35, 47F05, 47G10. [A67] L. P. Castro, E. Pesetskaya, S. Rogosin: Eective Conductivity of a Composite Material with Nonideal Contact Conditions, Complex Variables and Elliptic Equations 54 (2009), MSC2000: 30E25, 35B27, 74Q05, 74M15. 10

11 [A68] G. Bogveradze, L. P. Castro: Fredholm Characterization of Wiener-Hopf-Hankel Integral Operators with Piecewise Almost Periodic Symbols, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston: Birkhäuser, 2010, MSC2010: 47B35, 47A53, 47A68, 42A75. [A69] L. P. Castro, A. Ramos: Hyers-Ulam and Hyers-Ulam-Rassias Stability of Volterra Integral Equations with a Delay, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston: Birkhäuser, 2010, MSC2010: 45M10, 45D05, 34K20, 39B82, 47H99. [A70] L. P. Castro, A. Silva: Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and Minus Hankel Operators with Symmetry, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston: Birkhäuser, 2010, MSC2010: 47B35, 47A53, 42A75. [A71] L. P. Castro, E. M. Rojas: Invertibility of Singular Integral Operators with Flip through Explicit Operator Relations, C. Constanda (ed.) et al., Integral Methods in Science and Engineering, Boston: Birkhäuser, 2010, MSC2010: 47G10, 47A53, 45E05, 45F15, 47A20. [A72] L. P. Castro, D. Kapanadze: Exterior Wedge Diraction Problems with Dirichlet, Neumann and Impedance Boundary Conditions, Acta Applicanda Mathematicae 110 (2010), MSC2010: 35J25, 35J05, 45E10, 47A20, 47G30, 47B35, 47H50. [A73] L. P. Castro, E. Pesetskaya: A Transmission Problem with Imperfect Contact for an Unbounded Multiply Connected Domain, Mathematical Methods in the Applied Sciences 33 (2010), MSC2010: 30E25, 35B27, 74Q05. [A74] L. P. Castro, Q. Chen, S. Saitoh: Source inversion of heat conduction from a nite number of observation data, Applicable Analysis 89(6) (2010), MSC2010: 30E25, 35B27, 74Q05. [A75] L. P. Castro, E. M. Rojas: A collocation method for singular integral operators with reection, RIMS Kôkyûroku 1719 (2010), MSC2010: 65L60, 65R20, 45E05, 47A53, 47G10. [A76] L. P. Castro, A. S. Silva: Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols, Cubo 12(2) (2010), MSC2010: 47B35, 47A05, 47A12, 47A20, 42A75. [A77] L. P. Castro, E.M. Rojas, S. Saitoh: Inversion from dierent kinds of information and real inversion formulas of the Laplace transform from a nite number of data, MESA Mathematics in Engineering, Science and Aerospace 1(2) (2010), MSC2010: 44A10, 46E22, 47A52, 44A15, 30C40. [A78] L. P. Castro, E. M. Rojas: Explicit solutions of Cauchy singular integral equations with weighted Carleman shift, Journal of Mathematical Analysis and Applications 371 (2010), MSC2010: 47G10, 47A68, 45E05, 45P05, 30E25, 47B37 [A79] L. P. Castro, S. Saitoh, Yoshihiro Sawano, Alberto M. Simões: Discretization by the theory of reproducing kernels, RIMS Kôkyûroku 1719 (2010), MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05. [A80] L. P. Castro, A. S. Silva: Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on Weighted Lebesgue Spaces, American Institute of Physics, AIP - Conf. Proc (2010), PACS: Tb, Rz, Sa. MSC2010: 47B35, 47A05, 47A68. [A81] L. P. Castro, E. M. Rojas: Bounds for the Kernel Dimension of Singular Integral Operators with Carleman Shift, American Institute of Physics, AIP - Conf. Proc (2010), PACS: Tb, Rz, Sa. MSC2010: 47G10, 30E20, 45E05. 11

12 [A82] L. P. Castro, A. M. Simões: On the Solvability of a Problem of Wave Diraction by a Union of a Strip and a Half-Plane, American Institute of Physics, AIP - Conf. Proc (2010), PACS: Tb; Bi; Jb; Jr; Sa; Rz; Uu. MSC2010: 35J05, 35J25, 47A68, 47B35. [A83] L. P. Castro, A. Silva: Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with piecewise almost periodic symbols, Bulletin of the Greek Mathematical Society 57 (2010), MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10. [A84] L. P. Castro, E. M. Rojas: Moore-Penrose invertibility of singular integral operators with Carleman shift, Bulletin of the Greek Mathematical Society 57 (2010), MSC2010: 41A35, 45E05, 47A53, 15A09. [A85] L. P. Castro, E. M. Rojas: On the Solvability of Singular Integral Equations with Reection on the Unit Circle, Integral Equations and Operator Theory 70 (2011), MSC2010: 45E10, 30E20, 30E25, 47A68, 47G10. [A86] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels, short version of [A99], Hokkaido University Technical Report Series in Mathematics 147 (edited by Mikihiro Hayashi, Takahiko Nakazi, Masahiro Yamada, Rikio Yoneda), 2011, MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30. [A87] L. P. Castro, D. Kapanadze, R. Duduchava: Electromagnetic scattering by cylindrical orthotropic waveguide irises, Georgian Mathematical Journal 18 (2011), MSC2010: 30E25, 35B27, 74Q05. [A88] L. P. Castro, A.S. Silva: On the invertibility of classes of integral operators via generalized factorizations, American Institute of Physics, AIP - Conf. Proc (2011), PACS: Tb; Rz; Sa [A89] L. P. Castro, A. S. Silva: Semi-Fredholm Theory for Wiener-Hopf-Hankel Operators on Muckenhoupt Weighted Lebesgue Spaces, MESA Mathematics in Engineering, Science and Aerospace 2, No. 4 (2011), MSC2010: 47B35, 47A53, 42A75. [A90] L. P. Castro, A. Ramos: Hyers-Ulam Stability for a Class of Fredholm Integral Equations, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientic Publishers (ISBN: ), UK, 2011, MSC2010: 45M10, 45D05, 34K20. [A91] L. P. Castro, A. Silva: Wiener-Hopf-Hankel Operators with Semi-almost Periodic Symbols on Weighted Lebesgue Spaces, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientic Publishers (ISBN: ), UK, 2011, MSC2010: 45M10, 45D05, 34K20. [A92] L. P. Castro, E. M. Rojas: Splitting Property for Singular Integral Operators with a Weighted Shift, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientic Publishers (ISBN: ), UK, 2011, MSC2010: 47G10, 45E05, 45P05, 47A53, 47B35. [A93] L. P. Castro, E. M. Rojas: Continuous Coecient Representations for Singular Integral Operators with Shift, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientic Publishers (ISBN: ), UK, 2011, MSC2010: 47G10, 30E20, 45E05, 47A53, 47B35. [A94] L. P. Castro, A. S. Silva: Wiener-Hopf and Wiener-Hopf-Hankel operators with piecewise-almost periodic symbols on weighted Lebesgue spaces, Memoirs on Dierential Equations and Mathematical Physics 53 (2011), MSC2010: 47B35, 42A75, 47A53, 47A68, 47G10. 12

13 [A95] L. P. Castro, A.S. Silva: Defect numbers of singular integral operators with Carleman shift and almost periodic coecients, Journal of Mathematical Analysis and Applications 387 (2012), MSC2010: 47B35, 45E05, 47A68, 47B37, 47G10, 47A53, 42A75 [A96] L. P. Castro, S. Saitoh: Applications of Reproducing Kernels to Fractional Functions and Convolution Integral Equations, Hokkaido University Technical Report Series in Mathematics 152 (2012), MSC2010: 45E10, 46E22, 47A30, 47B32, 47B38, 47G10. [A97] L. P. Castro, H. Fujiwara, S. Saitoh, Y. Sawano, A. Yamada, M. Yamada: Fundamental error estimate inequalities for the Tikhonov regularization using reproducing kernels, in: Inequalities and Applications (ISBN ), C. Bandle, A. Gilányi, L. Losonczi, M. Plum (Eds.), International Series of Numerical Mathematics 161, Birkhäuser Verlag, 87101, MSC2010: 46E22, 41A35, 65N21, 65N12, 65R30. [A98] L. P. Castro, S. Saitoh: Natural outputs and global inputs of linear systems with a nite number of input data, Appl. Anal. 91(2), (2012) MSC2010: 44A15, 30C40, 35K05, 35K08, 35L05, 46E22, 46E35, 65J20. [A99] L. P. Castro, S. Saitoh: New convolutions and norm inequalities, Mathematical Inequalities & Applications 15 (3) (2012), MSC2010: 44A35, 30C40, 42A85, 45E10, 46E22, 47A30, 47B32, 47B38, 47G10. [A100] L. P. Castro, S. Saitoh, Y. Sawano, A. Simões: General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coecients on the Whole Spaces, Complex Analysis and Operator Theory 6 (2012), MSC2010: 35A35, 30C40, 35G05, 46E22, 47F05. [A101] L. P. Castro, A. M. Simões, Integral equation methods in problems of wave diraction by a strip with higher order reactance conditions, American Institute of Physics, AIP - Conf. Proc (Ed.: S. Sivasundaram), , NY, [A102] L. P. Castro, S. Saitoh, Y. Sawano, A. S. Silva: Discrete linear dierential equations, Analysis 32 (2012), MSC2010: 34A25, 34B05, 30C40, 46E22, 47B32, 47A52. [A103] L. P. Castro, S. Saitoh, N. M. Tuan: Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels, Opuscula Mathematica 32(2012), no. 4, MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05. [A104] L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolution inequalities, Progress in Analysis, Volume 1 (eds.: V.Burenkov et al.), Moscow, Peoples' Friendship University of Russia, 2012, MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05. [A105] L. P. Castro, H. Itou, S. Saitoh: Numerical Solutions of Linear Singular Integral Equations by means of Tikhonov Regularization and Reproducing Kernels, Houston Journal of Mathematics 38(4) (2012), MSC2010: 45E05; 45L05; 30C40; 65R20. [A106] L. P. Castro, A.S. Silva: Wiener-Hopf-Hankel operators with piecewise continuous Fourier symbols on variable exponent Lebesgue spaces, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis, , Science and Technics Publishing House, ISBN: , Ministry for Science and Technology of Vietnam, Ha Noi, MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75. [A107] L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, A new discretization method by means of reproducing kernels, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis, , Science and Technics Publishing House, ISBN: , Ministry for Science and Technology of Vietnam, Ha Noi, MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32, 47B38, 47G10, 65R20. [A108] L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolution inequalities, Progress in Analysis, Vol. 1, Proceedings of the 8th Congress of the International Society for Analysis, its Applications, and Computation (V.I. Burenkov, M.L. Goldman, E.B. Laneev and V.D. 13

14 Stepanov; eds), ISBN: , Peoples' Friendship University of Russia, Moscow, 2012, MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05. [A109] L. P. Castro, S. Saitoh: Fractional Functions and their Representations, Complex Analysis and Operator Theory 7(4) (2013), DOI /s MSC2010: 46E22, 30C40, 42A38, 47B32. [A110] L. P. Castro, D. Kapanadze: Wave diraction by a half-plane with an obstacle perpendicular to the boundary, Journal of Dierential Equations 254 (2013), MSC2010: 35J05, 35L05, 35L20, 78A45 [A111] L. P. Castro, D. Kapanadze: Mixed boundary value problems of diraction by a half-plane with a screen/crack perpendicular to the boundary, Proc. A. Razmadze Math. Inst. 162 (2013), MSC2010: 35J05, 35L05, 35L20, 78A45. [A112] L. P. Castro, K. Murata, S. Saitoh, M. Yamada: Explicit Integral Representations of Implicit Functions, Carpathian Journal of Mathematics 29(2) (2013), MSC2010: 26B10, 30C40, 47J07, 93C10. [A113] L. P. Castro, A. M. Simões: The impedance problem of wave diraction by a strip with higher order boundary conditions, American Institute of Physics, AIP - Conf. Proc. 1561, M. D. Todorov et al, , NY, [A114] L. P. Castro, A.S. Silva: Invertibility Criteria for Wiener-Hopf plus Hankel Operators with Dierent Almost Periodic Fourier Symbol Matrices, Annali di Matematica Pura ed Applicata 192 (2013), DOI /s MSC2010: 47B35, 47A05, 47A20, 42A75 [A115] L. P. Castro, R. C. Guerra: Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces, Libertas Mathematica (new series) 33(2) (2013), MSC2010: 45M10, 45D05, 34K20, 39B82, 47H99. [A116] L. P. Castro, S. Saitoh: Optimal and Approximate Solutions of Singular Integral Equations by means of Reproducing Kernels, Complex Analysis and Operator Theory 7 (2013), DOI /s MSC2010: 45E05, 45L05, 30C40, 65R20. [A117] L. P. Castro, M. M. Rodrigues: The WeierstrassWhittaker integral transform, Memoirs on Differential Equations and Mathematical Physics 60 (2013), [A118] L.P. Castro, M.R. Haqueb, M.M. Murshed, S. Saitoh, N.M. Tuan, Quadratic Fourier transforms, Annals of Functional Analysis 5(1) (2014), MSC2010: 42A38, 30C40, 32A36, 46E22. [A119] L.P. Castro, R. Duduchava, F.-O. Speck, Diraction from polygonal-conical screens, an operator approach, Oper. Theory Adv. Appl. 242 (2014), [A120] L. P. Castro, D. Kapanadze: Mixed boundary value problems of diraction by a half-plane with an obstacle perpendicular to the boundary, Mathematical Methods in Applied Sciences 37 (2014), MSC2010: 35J05, 35L05, 35L20, 78A45 Accepted Works (but not yet published or only published in Online First): [A121] L. P. Castro, H. Fujiwara, M. M. Rodrigues, S. Saitoh and V. K. Tuan, Aveiro Discretization Method in Mathematics: A New Discretization Principle, in: Mathematics without Boundaries: Surveys in Pure Mathematics, Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York, 52 pp., to appear. MSC2010: 45E05; 30C40, 42A85, 45E10, 45L05, 44A20, 46H05, 47A30, 47B32, 47B38, 47G10, 65R20. [A122] L. P. Castro, H. Fujiwara, T. Qian, S. Saitoh: How to catch smoothing properties and analyticity of functions by computers?, in: Mathematics without Boundaries: Surveys in Interdisciplinary Research, Panos Pardalos and Themistocles M. Rassias (edts.), Springer-Verlag, New York, 15 pp., to appear. MSC2010: 30C40, 42A85, 45E10, 44A20, 46H05. 14

15 [A123] L. P. Castro, M. M. Rodrigues, S. Saitoh, Initial value problems in linear integral operator equations, in: Topics in Mathematical Analysis and Applications, Themistocles M. Rassias and Laszlo Toth (edts.), Springer-Verlag, New York, 12 pp., to appear. MSC2010: 45C05, 32A30, 42A38, 45A05, 45D05, 45E05, 45P05, 46E22, 47A05. [A124] L. P. Castro, M. M. Rodrigues, S. Saitoh: A fundamental theorem on initial value problems by using the theory of reproducing kernels, Complex Analysis and Operator Theory, 11pp., to appear. MSC2010: 58J47, 32A25, 45Q05, 46E22, 47A70, 47B32. [A125] L.P. Castro, A.S. Silva, Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces, 12 pp. Annals of Functional Analysis, to appear. MSC2010: 47B35, 47A53, 47A05, 47A20, 42A75. [A126] L. P. Castro, D. Kapanadze, E. Pesetskaya, A heat conduction problem of 2D unbounded composites with imperfect contact conditions, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 14 pp., to appear. Scientific Communications about New Results Luis Castro gave (himself) more than 35 talks at research seminars and 65 talks at conferences or workshops. His co-authors gave over other 100 talks about joint works. 20 examples of recent scientific talks delivered by L. Castro: [T1] Invited Talk: Invertibility of Toeplitz-like Operators Arising in Oblique Derivative Boundary Value Problems for the Helmholtz Equation, International Workshop on TOEPLITZ-LIKE OPERATORS AND RELATED TOPICS, November 2008, CINVESTAV, México City, México. [T2] Key Lecture: Problems of Wave Diraction by Quadrants Analysed by a Half-line Potential Approach, First International Conference on Application of Mathematics in Technical and Natural Sciences, June 2009, Bulgaria. [T3] Main Talk: A Polynomial Collocation Method for a Class of Singular Integral Equations with Shift, Workshop Recent Developments of Numerical Analysis and Numerical Computation Algorithms (organized by: Kaname Amano (Graduate School of Science and Engineering, Ehime Univ.), December 2009, Research Institute for Mathematical Sciences, Kyoto University, Japan. [T4] Plenary Talk: Integral Equation Modelling of Electromagnetic Scattering by Waveguides, Advanced School on Integral Equations, April 2010, Instituto Superior Técnico, Technical University of Lisbon, Lisbon. [T5] Invited Talk: Methods from Operator Theory in Diraction Problems, II Meeting of Mathematical Analysis, June 2010, University of Trás-os-Montes and Alto Douro, Vila Real, Portugal. [T6] Key Lecture: Electromagnetic Scattering by Orthotropic Waveguides, Second Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, June 2010, Sozopol, Bulgaria. [T7] Invited Talk: A transmission problem with imperfect contact on unbounded double periodic multiply connected domains, Workshop on Operator Theory, Complex Analysis and Applications, October 2010, Technical University of Lisbon, UTL, Lisbon. 15

16 [T8] Key Lecture: The Helmholtz equation in 270 degrees wedge sectors facing Dirichlet, Neumann and impedance boundary conditions, AMiTaNS'11 Third Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, June 2011, Albena, Bulgaria. [T9] Plenary Talk: Algebraization of Stability for Singular Integral Equations, Dincon 2011: X Conferência Brasileira de Dinâmica, Controle e Aplicações, August-September 2011, Águas de Lindóia, São Paulo, Brazil. [T10] On the Fredholm Property of Wiener-Hopf and Wiener-Hopf-Hankel Operators with Piecewise-Almost Periodic Symbols on Weighted Lebesgue Spaces, INTERNATIONAL CONFERENCE CONTINUUM MECHANICS AND RELATED PROBLEMS OF ANALYSIS, dedicated to the 120-th birthday anniversary of academician N. Muskhelishvili, September 2011, Tbilisi, Georgia [T11] Plenary Talk: Projection Methods and Generalized Solutions for a Class of Singular Integral Equations with Carleman Shift, II International Conference of the Georgian Mathematical Union, September 2011, Batumi, Georgia. [T12] Invited Talk: Wiener-Hopf plus Hankel operators in exterior wedge problems for the Helmholtz equation, January 25, 2012, Dipartimento di Matematica, Università degli Studi di Padova, Italy. [T13] Invited Talk: Wiener-Hopf and Wiener-Hopf-Hankel Operators with Piecewise-Almost Periodic Symbols on Weighted Lebesgue Spaces, The Second Wiener-Hopf Workshop, June 2012, Aberystwyth University, UK. [T14] Potential and variational methods in wave diraction problems with impedance and Dirichlet-type conditions, ICNPAA 2012 World Congress: 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Section: "Integral Equations and Their Applications in Science and Technology"), section organized by L. Castro and J. Banas, July 2012, Vienna University of Technology, Austria. [T15] Plenary Talk: Fredholm theory of Wiener-Hopf-Hankel operators in weighted Lebesgue spaces, The 20th International Conference on Finite or Innite Dimensional Complex Analysis and Applications, July-August 2012, Hanoi University of Science and Technology, Vietnam. [T16] Invited Talk: A crack problem in wave diraction for dierent types of boundary conditions, Workshop on Operator Theory and Operator Algebras 2012, September 2012, IST, Technical University of Lisbon, Lisbon, Portugal. [T17] Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces, GPOTS 2013: Great Plains Operator Theory Symposium, May 2013, Berkeley, University of California at Berkeley, United States of America. [T18] Invited Talk: Boundary integral methods for classes of wedge diraction problems with Dirichlet, Neumann and impedance boundary conditions, Meeting on Operator Theory, Complex Analysis and Applications 2013, July 2013, University of Minho at Guimarães, Portugal. [T19] Invited Talk: Wave diraction boundary value problems with a crack in the main boundary, International Workshop on Analysis, Dierential Equations and Control Theory, Instituto de Física y Matemáticas, Universidad Michiocana de San Nicolás, Morelia, México, 1721/02/2014. [T20] Invited Talk: Operator theory analysis of Dirichlet-Neumann boundary value problems in a half-plane with a crack, WOTCA 2014 Workshop on Operator Theory, Complex Analysis, and Applications, Instituto Superior TÃ cnico, Lisboa, Portugal, June 19-21,

17 Member of Academic Juries L. Castro was member of a great variety of Academic Juries in the Portuguese Universities (for Full Professor, Associate Professor and Auxiliary Professor positions; in Ph.D. and M.Sc. candidates examinations; for Research positions in the Portuguese System of the Foundation for Science and Technology; in Scientic Prizes). Master Theses Supervision [ ] [ ] [ ] [ ] [ ] Dorabella Martins da Silva: Wiener-Hopf Operators, Factorizations and Realization Theory (in Portuguese), xii + 96 p., University of Aveiro, April Supervisor: Luís Castro. Alberto Manuel Tavares Simões: Matricial Relations and Invertibility of Convolution Type Operators in Lebesgue Spaces (in Portuguese), viii p., University of Aveiro, June Supervisor: Luís Castro. Paulo Alexandre Teixeira Pereira: Wiener-Hopf-Hankel Operators (in Portuguese), v + 63 p., University of Aveiro, July Supervisor: Luís Castro. Ana Rute Esteves: Fredholm Theory in Hilbert Spaces (in Portuguese), 54 p., University of Aveiro, July Supervisor: Luís Castro. Cátia Rodrigues: Stability and Regularity of Toeplitz and Hankel Matrices (in Portuguese), 102 p., University of Aveiro, July Supervisor: Luís Castro. PhD Supervision [ ] [ ] [ ] Ana Paula Branco Nolasco: Regularity properties of Wiener-Hopf-Hankel operators, xiv p., University of Aveiro. Supervisor: Luís Castro. Ana Nolasco was supported by the scholarship SFRH/BD/11090/2002, Fundação para a Ciência e a Tecnologia (Portugal). Giorgi Bogveradze: Fredholm Theory for Wiener-Hopf plus Hankel operators, xvii p., University of Aveiro. Supervisor: Luís Castro. Giorgi Bogveradze was supported by a scholarship from UI&D Matemática e Aplicações, Fundação para a Ciência e a Tecnologia (Portugal). Edixon Manuel Rojas Santana (MSc): A Study of Singular Integral Operators with Shift, xiv p., University of Aveiro. Supervisor: Luís Castro. Edixon Rojas Santana was supported by the scholarship SFRH/BD/30679/2006, Fundação para a Ciência e a Tecnologia (Portugal). [ ] Alberto Manuel Tavares Simões (MSc): Problemas do tipo de Sommerfeld com Condições de Fronteira de Ordem Superior, 197 p., University of Beira Interior. Supervision of Luís Castro and co-supervision of Prof. António Bento (University of Beira Interior), Portugal. [ ] Anabela de Sousa e Silva: Regularity of Wiener-Hopf plus Hankel operators, xvi p., University of Aveiro. Supervisor: Luís Castro. Anabela Silva was supported by the scholarship SFRH/BD/38698/2007, da Fundação para a Ciência e a Tecnologia (Portugal). 17

18 Post-Doc Supervision [ ] [ ] [ ] [ ][ ] Levan Sigua (I. Javakhishvili Tbilisi State University, Tbilisi, Georgia): Convolution Type Operators and Diraction Theory, UI&D Mathematics and Applications scholarship. Supervisor: Luís Castro. David Kapanadze (Razmadze Mathematical Institute, Tbilisi, Georgia): Sommerfeld Type Diraction Problems with Real Wave Numbers, FCT scholarship. Supervisor: Luís Castro. Ekaterina Vladimirovna Pesetskaya (Belarusian State University, Mathematics and Mechanics Faculty, Belarus): Mixed Boundary Value Problems for Multiply Connected Domains and their Applications to Composite Materials, FCT scholarship. Supervisor: Luís Castro. Anabela de Sousa e Silva, Convolution type operators and integral transforms in variable exponent Lebesgue spaces, CIDMA scholarship. Supervisor: Luís Castro. [ ] present Matteo Dalla Riva: Singular perturbation problems for equations and systems of differential equations, FCT scholarship (with number SFRH/BPD/64437/2009). Supervisor: Luís Castro. Organization of Conferences and Workshops [2005] Main Organizer (Chairman) of Conference on Operator Theory, Function Spaces and their Applications (dedicated to the 60th birthday of Professor F.-O. Speck), Department of Mathematics, University of Aveiro, July Invited talks by: J. Cerdà - Barcelona; M. Costabel - Rennes; R. Duduchava - Tbilisi; S. Jaard - Paris; Yu. Karlovich - Mexico; V. Maz'ya - Linköping; D. Natroshvilli - Tbilisi; S. Samko - Faro; B. Silbermann - Chemnitz; H. Triebel - Jena; H. Upmeier - Marburg; W. L. Wendland - Stuttgart. Total number of conference participants: 90. [2006] Member of the Organizing Committee of Conference on Views on ODEs (in honor of Professors Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday; Department of Mathematics, University of Aveiro, June communications and 76 participants in total. [2010] Main Organizer (Chairman) of First Annual Workshop of Functional Analysis and Applications Group (May 2010; 16 participants), University of Aveiro. [ ] SS12. Integral Equations and their Applications ICNPAA 2010 World Congress, INPE, São José dos Campos (SP), Brazil, June 30, 2010 July 3, Session Organizers: Luis Castro, Universidade de Aveiro, Aveiro, Portugal Stefan Samko, Universidade do Algarve, Faro, Portugal This section was devoted to integral equations and their applications to the areas of the general scope of the conference. Special emphasis is put in the analysis of properties of Fredholm, Volterra and singular integral equations including equations generated by Wiener-Hopf, Toeplitz, Hankel and fractional order integral operators and their various applications. Talks presenting the use of integral equations in the areas of aerodynamics, uid mechanics and wave diraction were especially welcomed. [2011] Main Organizer (Chairman) of IDOTA2011: Integral and Dierential Operators and Their Applications - An International Conference in Honour of Professor Stefan Samko on the occasion of his 70th birthday, Departamento de Matemática, Universidade de Aveiro, June-July 2011 ( 18

19 Invited talks by: Martin Costabel (Université de Rennes 1, France); Roland Duduchava (Ivane Javakhishvili State University of Tbilisi, Georgia); George Hsiao (University of Delaware, USA); Vakhtang Kokilashvili (Georgian Academy of Sciences, Georgia); Carlos Pérez (University of Seville, Spain); Lars-Erik Persson (Luleå University of Technology, Sweden); Ilya Spitkovsky (College of William and Mary, USA); Vladimir Rabinovich (National Polytechnic Institute, Mexico); Wolfgang Wendland (University of Stuttgart, Germany). Total number of participants: 100. Scientic Committee: Ravi P. Agarwal (Melbourne, USA); Luís Castro (Aveiro, Portugal); Martin Costabel (Rennes, France); Roland Duduchava (Tbilisi, Georgia); António Ferreira dos Santos (Lisbon, Portugal); Paulo Jorge Ferreira (Aveiro, Portugal); George Hsiao (Delaware, USA); Vakhtang Kokilashvili (Tbilisi, Georgia); David Natroshvili (Tbilisi, Georgia); Nikolaos Papageorgiou (Athens, Greece); Carlos Pérez (Sevilla, Spain); Lars-Erik Persson (Luleå, Sweden); Gueorgui Smirnov (Braga, Portugal); Frank-Olme Speck (Lisbon, Portugal); Ilya Spitkovsky (Williamsburg, USA); Saburou Saitoh (Aveiro, Portugal); Vasile Staicu (Aveiro, Portugal); Ioannis Stratis (Athens, Greece); José Miguel Urbano (Coimbra, Portugal); Vladimir Rabinovich (Mexico City, Mexico); Wolfgang L. Wendland (Stuttgart, Germany). Organizing Committee: Alexandre Almeida; António Caetano; Luís Castro (Chairman); Ana Paula Nolasco; Humberto Rafeiro; Eugénio Rocha; Manuela Rodrigues; Sandrina Santos; Frank-Olme Speck. The topics of the conference included: Integral and Dierential Operators; Variable Exponent Analysis; Harmonic Analysis; Function Spaces; Nonlinear Analysis; Factorization Theory; Boundary Value Problems and PDEs. [2011] Main Organizer (Chairman) of Second Annual Workshop of Functional Analysis and Applications Group (October 2011; 17 participants), University of Aveiro. [2012] SS7. Integral Equations and Their Applications in Science and Technology ICNPAA 2012 World Congress, Vienna University of Technology, Vienna, Austria; July 10, July 14, Session Organizers: Luis Castro (University of Aveiro, Aveiro, Portugal) and Jozef Banas (Rzeszów University of Technology, Poland) The aim of the session was to discuss both the theory of integral equations and their applications in engineering, mechanics, mathematical physics and so on. Special emphasis was considered on nonlinear integral equations, functional integral equations and the systems of integral equations. We considered various topics of the theory of those integral equations which have a wide range of applications. The theory of fractional integral equations and their numerous applications was also included. [2012] Main Organizer (Chairman) of Third Annual Workshop of Functional Analysis and Applications Group (October 2012; 20 participants), University of Aveiro. [2013] Main Organizer (Chairman) of the CIDMA2013 A meeting of the Center for Research & Development in Mathematics and Applications (January 2013; 90 participants). This was a two days meeting and the rst of a series of yearly meetings of the Research Center CIDMA, aimed to serve as a gathering point of all the members of this Center and where each of its groups selects a number of presentations regarding the research carried out during the past year. [2013] Main Organizer (Chairman) of the CIDMA and Department of Mathematics of University of Aveiro Colloquium (May 2013; September 2013; November 2013). [2013] Main Organizer (Chairman) of Fourth Annual Workshop of Functional Analysis and Applications Group (June 2013; 18 participants), University of Aveiro. [2014] Main Organizer (Chairman) of the CIDMA2014 A meeting of the Center for Research & Development in Mathematics and Applications (January 2014). A two days meeting. University of Aveiro. 19

20 [2014] Main Organizer (Chairman) of the 5th Annual Workshop of Functional Analysis and Applications Group devoted to the 70th birthday of Professor Saburou Saitoh (May 24, 2014; 30 participants). [2014] Main Organizer (Chairman) of the WIMCSCIDMA Workshop The Wiener-Hopf Technique and its Applications, to occur in June 2014, at University of Aveiro, as a joint organization of WIMCS Wales Institute of Mathematical and Computational Sciences and CIDMA Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Universidade de Aveiro. [2014] Co-organizer of the Special Session 1 (SS1): Integral Equations and Their Applications in Science and Technology in the ICNPAA 2014 World Congress, Narvik University, Norway, July Referee and Reviewer Services [2002]present Referee work for more than 20 dierent international Mathematical Journals. [2005]present Reviewer for Zentralblatt Math (EMS). Cf. and the entries: 1. Zbl pre Maniccia, L.; Schrohe, E.; Seiler, J., Determinants of classical SG-pseudodierential operators, Math. Nachr. 287, No. 7, (2014). 2. Zbl pre Chmieli«ski, Jacek, Normed spaces equivalent to inner product spaces and stability of functional equations, Aequationes Math. 87, No. 1-2, (2014). 3. Zbl pre Rabinovich, Vladimir, Diraction by periodic graphs, Complex Var. Elliptic Equ. 59, No. 4, (2014). 4. Zbl pre Shipman, Stephen P.; Welters, Aaron T., Resonant electromagnetic scattering in anisotropic layered media, J. Math. Phys. 54, No. 10, , 40 p. (2013). 5. Zbl pre Ito, Kazufumi; Jin, Bangti; Zou, Jun, A direct sampling method for inverse electromagnetic medium scattering, Inverse Probl. 29, No. 9, Article ID , 19 p. (2013). 6. Zbl pre Lakhal, A., KAIRUAIN-algorithm applied on electromagnetic imaging, Inverse Probl. 29, No. 9, Article ID , 18 p. (2013). 7. Zbl pre Böttcher, Albrecht; Halwass, Martin, A Newton method for canonical Wiener- Hopf and spectral factorization of matrix polynomials, Electron. J. Linear Algebra 26, (2013). 8. Zbl pre Bellet, Jean-Baptiste; Berginc, Gérard, Modà le eectif de couche mince rugueuse pã riodique sur une structure semi-innie, ESAIM, Math. Model. Numer. Anal. 47, No. 5, (2013). 9. Zbl pre Alqadah, H.F.; Valdivia, N., A frequency based constraint for a multi-frequency linear sampling method, Inverse Probl. 29, No. 9, Article ID , 27 p. (2013). 10. Zbl pre Bommier-Hato, Hélène; Engli², Miroslav; Youss, El-Hassan, Dixmier trace and the Fock space, Bull. Sci. Math. 138, No. 2, (2014). 20