Ebook: Singular Integral Operators, Factorization and Applications: International Workshop on Operator Theory and Applications IWOTA 2000, Portugal
- Tags: Approximations and Expansions, Functional Analysis, Functions of a Complex Variable, Integral Equations, Operator Theory, Partial Differential Equations
- Series: Operator Theory: Advances and Applications 142
- Year: 2003
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xxi
Covariant Symbolic Calculi on Real Symmetric Domains....Pages 1-27
Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift....Pages 29-57
On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols....Pages 59-77
Well-Posedness of Diffraction Problems Involving n Coplanar Strips....Pages 79-90
Factorization of Matrix Functions and the Resolvents of Certain Operators....Pages 91-100
Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the Complex Case....Pages 101-115
Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2 X 2 Operator Matrix....Pages 117-132
Boundedness of Some Convolution and Twisted Convolution Operators....Pages 133-145
Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts....Pages 147-174
Hadamard-Type Integral Equations and Fractional Calculus Operators....Pages 175-188
Factorization of Singular Integral Operators with a Carleman Shift via Factorization of Matrix Functions....Pages 189-211
Single Elements of Operator Algebras....Pages 213-221
Skew Incidence Half-Plane Diffraction Problems: Particular Aspects of the Factorization Problem....Pages 223-251
Aperiodic Wave Diffraction by a Half-Plane....Pages 253-261
An Axiomatic Approach to the Limit Operators Method....Pages 263-285
Algebras of Approximation Sequences: Structure of Fractal Algebras....Pages 287-310
Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions....Pages 311-344
Criterion for the Fredholmness of Singular Operators with Piecewise Continuous Coefficients in Generalized H?lder Spaces with Weight....Pages 345-356
On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators....Pages 357-368
An Axiomatic Approach to Stability of Approximation Sequences....Pages 369-381
Back Matter....Pages 382-382
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.
Content:
Front Matter....Pages i-xxi
Covariant Symbolic Calculi on Real Symmetric Domains....Pages 1-27
Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift....Pages 29-57
On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols....Pages 59-77
Well-Posedness of Diffraction Problems Involving n Coplanar Strips....Pages 79-90
Factorization of Matrix Functions and the Resolvents of Certain Operators....Pages 91-100
Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the Complex Case....Pages 101-115
Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2 X 2 Operator Matrix....Pages 117-132
Boundedness of Some Convolution and Twisted Convolution Operators....Pages 133-145
Invertibility of Functional Operators with Slowly Oscillating Non-Carleman Shifts....Pages 147-174
Hadamard-Type Integral Equations and Fractional Calculus Operators....Pages 175-188
Factorization of Singular Integral Operators with a Carleman Shift via Factorization of Matrix Functions....Pages 189-211
Single Elements of Operator Algebras....Pages 213-221
Skew Incidence Half-Plane Diffraction Problems: Particular Aspects of the Factorization Problem....Pages 223-251
Aperiodic Wave Diffraction by a Half-Plane....Pages 253-261
An Axiomatic Approach to the Limit Operators Method....Pages 263-285
Algebras of Approximation Sequences: Structure of Fractal Algebras....Pages 287-310
Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions....Pages 311-344
Criterion for the Fredholmness of Singular Operators with Piecewise Continuous Coefficients in Generalized H?lder Spaces with Weight....Pages 345-356
On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators....Pages 357-368
An Axiomatic Approach to Stability of Approximation Sequences....Pages 369-381
Back Matter....Pages 382-382
....