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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: Szego-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."
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: SzegA-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.
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