Problems and Methods in Mathematical Physics

1. Front Matter

   Pages i-viii

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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

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.

• Analysis
• Approximation
• Operator theory
• approximation theory
• mathematical physics
• mathematische Physik
• numerische Analysis

• 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

Policies and ethics