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
• Language: English
• Published: Basel : Birkhũser Basel, 2010.
• Series: Operator Theory: Advances and Applications ; 206
• Subjects: Mathematics.; Integral equations.; Operator theory.; Operator Theory.; Integral Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8956-7

This volume contains English translations of 13 groundbreaking papers on Toeplitz matrices and Wiener-Hopf equations and other classes of discrete and continuous convolution operators and singular integral equations. The papers are both of theoretical and numerical interest. In particular, the paper...

Table of Contents:

• Part I Finite Toeplitz matrices and continuous analogs
• Inversion of finite Toeplitz matrices
• Inversion of finite Toeplitz matrices 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. Part II Singular integral operators. Algebras and Symbols
• The spectrum of singular integral operators in Lp spaces
• Algebra generated by the Toeplitz matrices in the spaces hp
• 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.