Singular Integral Operators, Factorization and Applications: International Workshop on Operator Theory and Applications IWOTA 2000, Portugal(142 Operator Theory: Advances and Applications)

This book contains the proceedings of the International Workshop on Operator Theory and Applications held in Faro, Portugal, September 12 to 15, 2000. It includes 20 selected articles centered on the analysis of various classes of singular operators, the factorization of operator and matrix functions, algebraic methods in approximation theory, and applications in diffraction theory. Some papers are related to topics from fractional calculus, complex analysis, operator algebras, and partial differential equations.

Table of Contents:
Covariant Symbolic Calculi on Real Symmetric Domains.- Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift.- On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols.- Well-Posedness of Diffraction Problems Involving n Coplanar Strips.- Factorization of Matrix Functions and the Resolvents of Certain Operators.- Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the Complex Case.- Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2 × 2 Operator Matrix.- Boundedness of Some Convolution and Twisted Convolution Operators.- Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts.- Hadamard-Type Integral Equations and Fractional Calculus Operators.- Factorization of Singular Integral Operators with a Carleman Shift via Factorization of Matrix Functions.- Single Elements of Operator Algebras.- Skew Incidence Half Plane Diffraction Problems: Particular Aspects of the Factorization Problem.- Aperiodic Wave Diffraction by a Half-Plane.- An Axiomatic Approach to the Limit Operators Method.- Algebras of Approximation Sequences: Structure of Fractal Algebras.- Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions.- Criterion for the Fredholmness of Singular Operators with Piecewise Continuous Coefficients in Generalized Hölder Spaces with Weight.- On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators.- An Axiomatic Approach to Stability of Approximation Sequences.