Convolution Operators and Factorization of Almost Periodic Matrix Functions

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...

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Main Authors: Böttcher, Albrecht, Karlovich, Yuri I. (Author), Spitkovsky, Ilya M. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel Birkhäuser Basel 2002, 2002
Edition:1st ed. 2002
Series:Operator Theory: Advances and Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Summary: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.
Physical Description:XI, 462 p online resource
ISBN:9783034881524