Convolution Equations and Singular Integral Operators

Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik

Editors:

ISBN: 978-3-7643-8955-0 (Print) 978-3-7643-8956-7 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-vii

  2. No Access

    Book Chapter

    Pages ix-xxii

    Introduction

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    Book Chapter

    Pages 1-6

    Inversion of Finite Toeplitz Matrices

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    Book Chapter

    Pages 7-46

    Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra

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    Book Chapter

    Pages 47-63

    Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments

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    Book Chapter

    Pages 65-88

    The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials

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    Book Chapter

    Pages 89-109

    The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator

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    Book Chapter

    Pages 111-125

    The Spectrum of Singular Integral Operators in L p Spaces

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    Book Chapter

    Pages 127-133

    On an Algebra Generated by the Toeplitz Matrices in the Spaces h p

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    Book Chapter

    Pages 135-144

    On Singular Integral Equations with Unbounded Coefficients

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    Book Chapter

    Pages 145-156

    Singular Integral Equations with Continuous Coefficients on a Composed Contour

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    Book Chapter

    Pages 157-184

    On a Local Principle and Algebras Generated by Toeplitz Matrices

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    Book Chapter

    Pages 185-199

    The Symbol of Singular Integral Operators on a Composed Contour

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    Book Chapter

    Pages 201-211

    One-dimensional Singular Integral Operators with Shift

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    Book Chapter

    Pages 213-217

    Algebras of Singular Integral Operators with Shift