Convolution Operators and Factorization of Almost Periodic Matrix Functions

Albrecht Böttcher

ISBN 10: 3034894570 / ISBN 13: 9783034894579

Published by Birkhäuser Basel, Birkhäuser Basel Okt 2012, 2012

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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 (ASpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 480 pp. Englisch.

Seller Inventory # 9783034894579

Bibliographic Details

• Title: Convolution Operators and Factorization of Almost Periodic Matrix Functions
• Publisher: Birkhäuser Basel, Birkhäuser Basel Okt 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 3034894570
• ISBN 13: 9783034894579
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 26D millimeters 235 millimeters width by 155 millimeters height by 26 millimeters depth
• Weight: 721 grams

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