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Singular Integral Operators, Factorization and Applications

International Workshop on Operator Theory and Applications IWOTA 2000, Portugal

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Albrecht Böttcher

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

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  2. Marinus A. Kaashoek

    1. Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands

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  3. Amarino Brites Lebre

    1. Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal

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  4. António Ferreira Santos

    1. Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal

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  5. Frank-Olme Speck

    1. Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal

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  • 12th IWOTA-Proceedings traditionally published in the OT series
  • Selected and thoroughly refereed contributions

Part of the book series: Operator Theory: Advances and Applications (OT, volume 142)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-xxi
    Download chapter PDF

  2. Covariant Symbolic Calculi on Real Symmetric Domains

    • Jonathan Arazy, Harald Upmeier
    Pages 1-27

  3. Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift

    • M. Amélia Bastos, António Bravo, Yuri Karlovich
    Pages 29-57

  4. On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols

    • Albrecht Böttcher, Sergei Grudsky, Ilya Spitkovsky
    Pages 59-77

  5. Well-Posedness of Diffraction Problems Involving n Coplanar Strips

    • Luís Pinheiro de Castro, Speck Frank-Olme
    Pages 79-90

  6. Factorization of Matrix Functions and the Resolvents of Certain Operators

    • Ana C. Conceição, Viktor G. Kravchenko, Francisco S. Teixeira
    Pages 91-100

  7. Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the Complex Case

    • Klaus Gürlebeck, Angela Hommel
    Pages 101-115

  8. Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2 X 2 Operator Matrix

    • Volker Hardt, Reinhard Mennicken, Alexander K. Motovilov
    Pages 117-132

  9. Boundedness of Some Convolution and Twisted Convolution Operators

    • Alexey N. Karapetyants, Enrique Ramírez de Arellano
    Pages 133-145

  10. Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts

    • A. Yu. Karlovich, A. B. Lebre, Yu. I. Karlovich
    Pages 147-174

  11. Hadamard-Type Integral Equations and Fractional Calculus Operators

    • Anatoly A. Kilbas
    Pages 175-188

  12. Factorization of Singular Integral Operators with a Carleman Shift via Factorization of Matrix Functions

    • Viktor G. Kravchenko, Amarino Lebre, Juan Rodríguez
    Pages 189-211

  13. Single Elements of Operator Algebras

    • William E. Longstaff
    Pages 213-221

  14. Skew Incidence Half-Plane Diffraction Problems: Particular Aspects of the Factorization Problem

    • Ernst Lüneburg, Hamit A. Serbest
    Pages 223-251

  15. Aperiodic Wave Diffraction by a Half-Plane

    • Erhard Meister
    Pages 253-261

  16. An Axiomatic Approach to the Limit Operators Method

    • Vladimir S. Rabinovich, Steffen Roch
    Pages 263-285

  17. Algebras of Approximation Sequences: Structure of Fractal Algebras

    • Steffen Roch
    Pages 287-310

  18. Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions

    • Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
    Pages 311-344

  19. Criterion for the Fredholmness of Singular Operators with Piecewise Continuous Coefficients in Generalized Hölder Spaces with Weight

    • Natasha Samko
    Pages 345-356

  20. On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators

    • Stefan Samko
    Pages 357-368
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Keywords

About this book

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.

Editors and Affiliations

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

    Albrecht Böttcher

  • Department of Mathematics and Computer Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands

    Marinus A. Kaashoek

  • Departamento de Matemática, Instituto Superior Técnico, Lisboa, Portugal

    Amarino Brites Lebre, António Ferreira Santos, Frank-Olme Speck

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