Handapparat der Nachwuchsgruppe Fraktale Analysis

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1 July 3, 2007 Handapparat der Nachwuchsgruppe Fraktale Analysis [1] A.E. Abele, H. Neunzert, and R. Tobies. Traumjob Mathematik! Berufswege von Frauen und Männern in der Mathematik. Birkhäuser, Basel, [2] R.A. Adams and J.J.F. Fournier. Sobolev spaces, volume 140 of Pure and Applied Mathematics. Elsevier, Academic Press, New York, 2nd edition, [3] S. Albeverio and P. Kurasov. Singular perturbations of differential operators. Cambridge Univ. Press, Cambridge, [4] F. Albiac and N.J. Kalton. Topics in Banach space theory, volume 233 of Graduate Texts in Mathematics. Springer, New York, [5] V.I. Arnold. Lectures on partial differential equations. Universitext. Springer, Berlin, [6] J.J. Benedetto and A.I. Zayed, editors. Sampling, Wavelets, and Tomography, Applied and Numerical Harmonic Analysis, Basel, Birkhäuser. [7] H. Bercovici and C. Foias, editors. Operator theory and interpolation, volume 115 of Operator Theory: Advances and Applications. Proceedings of the International Workshop on Operator Theory and Applications (IWOTA 96) held at Indiana University, Bloomington, 1996, Birkhäuser, Basel, [8] M. Borsuk and V. Kondratiev. Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains, volume 69 of North-Holland Mathematical Library. Elsevier, Amsterdam, [9] L. Brandolini, L. Colzani, A. Iosevich, and G. Travaglini, editors. Fourier Analysis and Convexity, Applied and Numerical Harmonic Analysis, Basel, Birkhäuser. [10] M.D. Buhmann. Radial Basis Functions. Cambridge Monographs on Applied and Computational Mathematics, 12. Cambridge Univ. Press, Cambridge, [11] O. Christensen. An introduction to frames and Riesz bases. Birkhäuser, Basel, [12] O. Christensen and Kh.L. Christensen. Approximation Theory. From Taylor Polynomials to Wavelets. Applied and Numerical Harmonic Analysis. Birkhäuser, Basel, [13] Z. Ciesielski, A. Pełczyński, and L. Skrzypczak, editors. Orlicz centenary volume, volume 64 of Banach center publications. Polish Acad. Sci., Inst. of Math., Warszawa, [14] A. Cohen. Numerical analysis of wavelet methods, volume 32 of Studies in Mathematics and its Applications. Elsevier, [15] R. Coifman, editor. Topics in analysis and its applications. Selected Theses. World Scientific, [16] G. David and S. Semmes. Fractured fractals and broken dreams. Clarendon Press, Oxford, [17] G. David and S. Semmes. Uniform rectifiability and quasiminimizing sets of arbitrary codimension. Mem. Amer. Math. Soc., 144(687):132 p., [18] M. Dobrowolski. Funktionalanalysis, Sobolev-Räume und elliptische Differentialgleichungen. Springer,

2 2 Handapparat der Nachwuchsgruppe Fraktale Analysis [19] J. Dugundji and A. Granas. Fixed point theory. Springer Monographs in Mathematics. Springer, [20] N. Dunford and J.T. Schwartz. Linear operators. Part II: Spectral theory. Self adjoint operators on Hilbert space. Mir, Moskau, Russian. Translated from the English. [21] J. Duoandikoetxea. Fourier analysis, volume 29 of Graduate Studies in Mathematics. AMS, Providence, R.I., [22] D.E. Edmunds and W.D. Evans. Hardy operators, function spaces and embeddings. Springer Monographs in Mathematics. Springer, [23] D.E. Edmunds, V. Kokilashvili, and A. Meskhi. Bounded and compact integral operators, volume 543 of Mathematics and its applications. Kluwer Academic Publishers, Dordrecht, [24] H.-G. Eßer, F. Gehrke, P. Glinsky, T. Gripp, and G. Klappheck. Linux / KDE komplett, 2 Bände. SYBEX, Düsseldorf, [25] H. Feichtinger and T. Strohmer. Advances in Gabor Analysis. Birkhäuser, Basel, [26] W. Freeden and V. Michel. Multiscale potential theory. With applications to geoscience. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, [27] L. Gasiński and N.S. Papageorgiou. Nonsmooth critical point theory and nonlinear boundary value problems, volume 8 of Series in Mathematical Analysis and Applications. Chapman & Hall/CRC, Boca Raton, [28] D. Gilbarg and N.S. Trudinger. Elliptic partial differential equations of second order. Classics in Mathematics. Springer, Berlin, 2nd edition, Reprint of the 1998 edition; Originally published as volume 224 in the series Grundlehren der mathematischen Wissenschaften, Springer, Berlin, [29] J.E. Gilbert, Y.S. Han, J.A. Hogan, J.D. Lakey, D. Weiland, and G. Weiss. Smooth molecular decompositions of functions and singular integral operators. Mem. Amer. Math. Soc., 156(742):74 p., [30] M. Goossens, S. Rahtz, and F. Mittelbach. The LATEX Graphics companion. Addison-Wesley Longman Inc., 3rd edition, [31] R. Grzạślewicz, C. Ryll-Nardzewski, H. Hudzik, and J. Musielak, editors. Function spaces. Proceedings of the 6th Conference held in Wrocław, September 2001, World Scientific, River Edge, [32] S.J. Gustafson and I.M. Sigal. Mathematical Concepts of Quantum Mechanics. Universitext. Springer, Berlin, [33] D.D. Haroske, Th. Runst, and H.J. Schmeißer, editors. Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume. Proceedings of the Conference held in Teistungen, June, 2001, Birkhäuser, Basel, [34] J. Heinonen. Lectures on analysis on metric spaces. Springer, New York, [35] J.A. Hogan and J.D. Lakey. Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, [36] G. Horn, editor. Die Töchter der Alma mater jenensis: Neunzig Jahre Frauenstudium an der Universität von Jena. Hain, Weimar, 1999.

3 Handapparat der Nachwuchsgruppe Fraktale Analysis 3 [37] Youssef Jabri. The Mountain Pass Theorem. Variants, Generalizations and Some Applications. Cambridge Univ. Press, Cambridge, [38] N. Jacob. Pseudodifferential operators and Markov processes. Vol. I: Fourier Analysis and Semigroups. World Scientific, [39] N. Jacob. Pseudodifferential operators and Markov processes. Vol. II: Generators and Their Potential Theory. World Scientific, [40] N. Jacob. Pseudodifferential operators and Markov processes. Vol. III: Markov Processes and Applications. World Scientific, [41] P.E.T. Jorgensen. Analysis and Probability. Wavelets, Signals, Fractals, volume 234 of Graduate Texts in Mathematics. Springer, New York, [42] Y. Katznelson. An Introduction to Harmonic Analysis. Cambridge Univ. Press, Cambridge, 3rd edition, [43] P. Clark Kenschaft. Change Is Possible: Stories of Women and Minorities in Mathematics. AMS, Providence, R.I., [44] J. Kigami. Analysis on fractals. Cambridge Univ. Press, Cambridge, [45] A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo. Theory and Applications of Fractional Differential Equations, volume 204 of North-Holland Mathematics Studies. Elsevier, [46] H. Kopka. LATEX, Bd. 2, Ergänzungen. Addison-Wesley, München, , überarb. Aufl. [47] H. Kopka. LATEX, Bd. 3, Erweiterungen. Addison-Wesley, München, [48] H. Kopka. LATEX, Bd. 1, Einführung. Addison-Wesley, München, , überarb. Aufl. [49] S.G. Krantz. Mathematical Publishing: A Guidebook. AMS, Providence, R.I., [50] S.G. Krantz. Real analysis and foundations, volume 44 of Studies in Advanced Mathematics. Chapman & Hall/CRC, Boca Raton, 2nd edition, [51] A. Kufner and L.-E. Persson. Weighted inequalities of Hardy type. World Scientific, [52] D.P. Landau and K. Binder. A Guide to Monte Carlo Simulations in Statistical Physics. Cambridge Univ. Press, Cambridge, 2nd edition, [53] M.L. Lapidus and M. van Frankenhuijsen. Fractal geometry, complex dimensions and zeta functions. Geometry and spectra of fractal strings. Springer Monographs in Mathematics. Springer, New York, [54] S. Larsson and V. Thomée. Partial Differential Equations with Numerical Methods. Texts in Applied Mathematics, 45. Springer, Berlin, [55] G.G. Magaril-Il yaev and V.M. Tikhomirov. Convex Analysis: Theory and Applications, volume 222 of Translations of Mathematical Monographs. AMS, Providence, R.I., [56] M.B. Marcus and J. Rosen. Markov processes, Gaussian processes, and local times, volume 100 of Cambridge Studies in Advanced Mathematics. Cambridge Univ. Press, Cambridge, [57] W. McLean. Strongly elliptic systems and boundary integral equations. Cambridge Univ. Press, Cambridge, [58] Y. Meyer. Wavelets, vibrations and scalings. AMS, Providence, 1998.

4 4 Handapparat der Nachwuchsgruppe Fraktale Analysis [59] Y. Meyer. Oscillating patterns in image processing and nonlinear evolution equations. The fifteenth Dean Jacqueline B. Lewis memorial lectures. AMS, Univ. Lecture Series. 22, Providence, RI, [60] Y. Meyer and R. Coifman. Wavelets, volume 48 of Cambridge Studies in Advanced Mathematics. Cambridge Univ. Press, Cambridge, Calderón-Zygmund and multilinear operators. Translated from the 1990 and 1991 French originals. [61] F. Morgan. Real Analysis, volume 29. AMS, Providence, R.I., [62] P.F.X. Müller. Isomorphisms Between H 1 Spaces, volume 66 of Monografie Matematyczne. Birkhäuser, Basel, [63] M.A. Neumark. Lineare Differentialoperatoren. Math. Lehrbücher und Monographien, 2. Abt., Bd. 11. Akademie-Verlag, Berlin, [64] H.-O. Peitgen, H. Jürgens, and D. Saupe. Chaos and Fractals. New Frontiers of Science. Springer, 2nd edition, [65] D.B. Percival and A.T. Walden. Wavelet methods for time series analysis, volume 4 of Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge Univ. Press, Cambridge, Reprint of the 2000 original. [66] G. Pisier. Introduction to operator space theory. Cambridge Univ. Press, Cambridge, [67] V.S. Pugachev and I.N. Sinitsyn. Lectures on functional analysis and applications. World Scientific, [68] Th. Runst and W. Sickel. Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations. De Gruyter, Berlin, [69] M. Schechter. Principles of functional analysis. Graduate Studies in Mathematics. AMS, Providence, 2nd edition, [70] M. Schechter. An introduction to nonlinear analysis, volume 95 of Cambridge Studies in Advanced Mathematics. Cambridge Univ. Press, Cambridge, [71] S. Semmes. Some novel types of fractal geometry. Clarendon Press, Oxford, [72] E. Siever. Linux in a Nutshell. O Reilly, Köln, 2nd edition, [73] H. Sohr. The Navier-Stokes Equations. An Elementary Functional Analytic Approach. Birkhäuser, Basel, [74] K.-G. Steffens. The History of Approximation Theory. From Euler to Bernstein. Birkhäuser, Basel, [75] E.M. Stein and R. Shakarchi. Complex analysis, volume 2 of Princeton Lectures in Analysis. Princeton Univ. Press, Princeton, [76] E.M. Stein and R. Shakarchi. Fourier analysis. An introduction, volume 1 of Princeton Lectures in Analysis. Princeton Univ. Press, Princeton, [77] E.M. Stein and R. Shakarchi. Real Analysis: Measure Theory, Integration, and Hilbert Spaces, volume 3 of Princeton Lectures in Analysis. Princeton Univ. Press, Princeton, [78] W. Strampp. Analysis mit Mathematica und Maple. Vieweg, Braunschweig, [79] R.S. Strichartz. The way of analysis. Jones and Bartlett Publishers, Boston, revised edition, 2000.

5 Handapparat der Nachwuchsgruppe Fraktale Analysis 5 [80] R.S. Strichartz. Differential equations on fractals. A Tutorial. Princeton Univ. Press, Princeton, [81] K. Taira. Semigroups, boundary value problems and Markov processes. Springer Monographs in Mathematics. Springer, [82] H. Triebel. Höhere Analysis. Harri Deutsch, Frankfurt am Main, , verb. Aufl. [83] H. Triebel. Higher analysis. J.A. Barth, Leipzig, Translated from the German; Hochschulbücher für Mathematik, Bd. 76, Dt. Verlag Wiss., Berlin, [84] H. Triebel. Theory of function spaces II. Birkhäuser, Basel, [85] H. Triebel. Fractals and spectra. Birkhäuser, Basel, [86] H. Triebel. The structure of functions. Birkhäuser, Basel, [87] H. Triebel. Theory of function spaces III. Birkhäuser, Basel, [88] J. Trzeciak. Writing mathematical papers in english. A practical guide. EMS Publ. House, [89] D.F. Walnut. An introduction to wavelet analysis. Birkhäuser, Basel, [90] T. Westermann, W. Buhmann, L. Diemer, E. Endres, M. Laule, and G. Wilke. Mathematische Begriffe visualisiert mit Maple. Springer, Berlin, [91] P. Wojtaszczyk. A mathematical introduction to wavelets, volume 37 of London Math. Soc. Student Texts. Cambridge Univ. Press, Cambridge, [92] Th. Wolff. Lectures on harmonic analysis. AMS, Univ. Lecture Series. 29, Providence, RI, [93] M.W. Wong. Weyl transforms. Universitext. Springer, 1998.