Convolution Operators and Factorization of Almost Periodic Matrix Functions (Paperback, Softcover reprint of the original 1st ed. 2002)

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

General

Imprint:	Springer Basel
Country of origin:	Switzerland
Series:	Operator Theory: Advances and Applications, 131
Release date:	October 2012
First published:	2002
Authors:	Albrecht Boettcher • Yuri I Karlovich • Ilya M. Spitkovsky
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Paperback
Pages:	462
Edition:	Softcover reprint of the original 1st ed. 2002
ISBN-13:	978-3-03-489457-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-03-489457-0
Barcode:	9783034894579

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