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Problems and Methods in Mathematical Physics

The Siegfried Prössdorf Memorial Volume Proceedings of the 11th TMP, Chemnitz (Germany), March 25–28, 1999

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Johannes Elschner

    1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

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  2. I. Gohberg

    1. Department of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

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  3. Bernd Silbermann

    1. Faculty of Mathematics, Technical University of Chemnitz, Chemnitz, Germany

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 121)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Obituary

    • Bernd Silbermann
    Pages 1-3

  3. In memory of Siegfried Prößdorf

    • Vladimir Maz’ya
    Pages 4-8

  4. Siegfried Prößdorf — A short review of his scientific career

    • Jürgen Sprekels
    Pages 9-26

  5. On the theory of a singular Vekua system

    • Heinrich Begehr, Dao-Qing Dai
    Pages 27-35

  6. Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators

    • A. Böttcher, Yu. I. Karlovich, V. S. Rabinovich
    Pages 36-59

  7. Biorthogonal wavelet approximation methods for the heat equation

    • Christian Bourgeois, Serge Nicaise
    Pages 60-72

  8. Orientable and nonorientable Riemann-Hilbert problems

    • Messoud A. Efendiev, Wolfgang L. Wendland
    Pages 73-88

  9. Diffraction in Periodic Structures and Optimal Design of Binary Gratings. Part II: Gradient Formulas for TM Polarization

    • Johannes Elschner, Gunther Schmidt
    Pages 89-108

  10. A connection between the determinant and characteristic numbers of an operator pencil

    • Israel Gohberg, Naum Krupnik
    Pages 109-119

  11. Random walk models approximating symmetric space-fractional diffusion processes

    • Rudolf Gorenflo, Francesco Mainardi
    Pages 120-145

  12. On Qualocation and Collocation Methods for Singular Integral Equations with Piecewise Continuous Coefficients, Using Continuous Splines on Quasi-uniform Meshes

    • R. D. Grigorieff, Ian H. Sloan
    Pages 146-161

  13. Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products

    • Sergei M. Grudsky
    Pages 162-193

  14. Towards H—Matrix Approximation of Linear Complexity

    • Wolfgang Hackbusch, Boris N. Khoromskij
    Pages 194-220

  15. Wavelet Galerkin Schemes for 2D-BEM

    • Helmut Harbrecht, Reinhold Schneider
    Pages 221-260

  16. On the stability of collocation methods for Cauchy singular integral equations on an interval

    • Peter Junghanns, Giuseppe Mastroianni
    Pages 261-277

  17. On a new approach for solving Dirac equations with some potentials and Maxwell’s system in inhomogeneous media

    • Vladislav V. Kravchenko
    Pages 278-306

  18. Revisiting a quadrature method for CSIE with a weakly singular perturbation kernel

    • Concetta Laurita, Giuseppe Mastroianni
    Pages 307-326

  19. Fourier Projections in Weighted L∞-Spaces

    • Uwe Luther, Giuseppe Mastroianni
    Pages 327-351

  20. Maximal Banach algebra in spaces of multipliers between Bessel potential spaces

    • Vladimir Maz’ya, Tatyana Shaposhnikova
    Pages 352-365
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Keywords

About this book

This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Prössdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Prössdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Prössdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.

Editors and Affiliations

  • Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Johannes Elschner

  • Department of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    I. Gohberg

  • Faculty of Mathematics, Technical University of Chemnitz, Chemnitz, Germany

    Bernd Silbermann

Bibliographic Information

  • Book Title: Problems and Methods in Mathematical Physics

  • Book Subtitle: The Siegfried Prössdorf Memorial Volume Proceedings of the 11th TMP, Chemnitz (Germany), March 25–28, 1999

  • Editors: Johannes Elschner, I. Gohberg, Bernd Silbermann

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8276-7

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2001

  • Hardcover ISBN: 978-3-7643-6477-9Published: 01 December 2000

  • Softcover ISBN: 978-3-0348-9500-2Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8276-7Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VIII, 523

  • Topics: Mathematical Physics

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