Convolution Equations and Singular Integral Operators Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Lerer, Leonid (Editor), Olshevsky, Vadim (Editor), Spitkovsky, Ilya M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2010.
• Series: Operator Theory: Advances and Applications ; 206
• Subjects: Mathematics.; Integral equations.; Operator theory.; Operator Theory.; Integral Equations.

This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their impor...

Table of Contents:

• Inversion of Finite Toeplitz Matrices
• Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra
• Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments
• The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials
• The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator
• The Spectrum of Singular Integral Operators in L p Spaces
• On an Algebra Generated by the Toeplitz Matrices in the Spaces h p
• On Singular Integral Equations with Unbounded Coefficients
• Singular Integral Equations with Continuous Coefficients on a Composed Contour
• On a Local Principle and Algebras Generated by Toeplitz Matrices
• The Symbol of Singular Integral Operators on a Composed Contour
• One-dimensional Singular Integral Operators with Shift
• Algebras of Singular Integral Operators with Shift.