Ebook: Toeplitz Operators and Related Topics: The Harold Widom Anniversary Volume Workshop on Toeplitz and Wiener-Hopf Operators, Santa Cruz, California, September 20–22,1992
- Tags: Analysis
- Series: Operator Theory Advances and Applications 71
- Year: 1994
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.
Content:
Front Matter....Pages I-XIX
Eigenvalue Distribution for Nonselfadjoint Toeplitz Matrices....Pages 1-8
Random Hermitian Matrices and (Nonrandom) Toeplitz Matrices....Pages 9-15
The Extended Fisher-Hartwig Conjecture for Symbols with Multiple Jump Discontinuities....Pages 16-28
A Relative Toeplitz-Hausdorff Theorem....Pages 29-32
Operator-Valued Szeg?-Widom Limit Theorems....Pages 33-53
The Adamjan-Arov-Krein Theorem in General and Regular Representations of R2 and the Symplectic Plane....Pages 54-78
Projection Method for Block Toeplitz Operators With Operator-Valued Symbols....Pages 79-104
Szeg?-Widom-Type Limit Theorems....Pages 105-121
(Semi)-Fredholmness of Convolution Operators on the Spaces of Bessel Potentials....Pages 122-152
Kernels of Toeplitz Operators....Pages 153-164
A fixed point approach to Nehari’s problem and its applications....Pages 165-186
Back Matter....Pages 187-188
Content:
Front Matter....Pages I-XIX
Eigenvalue Distribution for Nonselfadjoint Toeplitz Matrices....Pages 1-8
Random Hermitian Matrices and (Nonrandom) Toeplitz Matrices....Pages 9-15
The Extended Fisher-Hartwig Conjecture for Symbols with Multiple Jump Discontinuities....Pages 16-28
A Relative Toeplitz-Hausdorff Theorem....Pages 29-32
Operator-Valued Szeg?-Widom Limit Theorems....Pages 33-53
The Adamjan-Arov-Krein Theorem in General and Regular Representations of R2 and the Symplectic Plane....Pages 54-78
Projection Method for Block Toeplitz Operators With Operator-Valued Symbols....Pages 79-104
Szeg?-Widom-Type Limit Theorems....Pages 105-121
(Semi)-Fredholmness of Convolution Operators on the Spaces of Bessel Potentials....Pages 122-152
Kernels of Toeplitz Operators....Pages 153-164
A fixed point approach to Nehari’s problem and its applications....Pages 165-186
Back Matter....Pages 187-188
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