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.

Contenuti:

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 H�lder Spaces with Weight.- On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators.- An Axiomatic Approach to Stability of Approximation Sequences.

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