Singular Integral Operators, Factorization and Applications

1. Front Matter

   Pages i-xxi

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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

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.

• Complex analysis
• Integral equation
• Operator theory
• convolution
• partial differential equation
• partial differential equations

• 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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