Convolution Operators and Factorization of Almost Periodic Matrix Functions

Albrecht Böttcher

ISBN 10: 3034894570 / ISBN 13: 9783034894579

Published by Birkhäuser Basel, Birkhäuser Basel, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A.

Seller Inventory # 9783034894579

Bibliographic Details

• Title: Convolution Operators and Factorization of Almost Periodic Matrix Functions
• Publisher: Birkhäuser Basel, Birkhäuser Basel
• Publication Date: 2012
• Language: English
• ISBN 10: 3034894570
• ISBN 13: 9783034894579
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

Many problems of the engineering sciences, physics, and mathematics lead to con­ volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A

About the Author

Bottcher of the Technical University of Chemnitz, Germany