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＜電子ブック＞
Convolution Operators and Factorization of Almost Periodic Matrix Functions / by Albrecht Böttcher, Yuri I. Karlovich, Ilya M. Spitkovsky
(Operator Theory: Advances and Applications. ISSN:22964878 ; 131)

版	1st ed. 2002.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2002
本文言語	英語
大きさ	XI, 462 p : online resource
著者標目	*Böttcher, Albrecht author Karlovich, Yuri I author Spitkovsky, Ilya M author SpringerLink (Online service)
件　名	LCSH:Operator theory FREE:Operator Theory
一般注記	1 Convolution Operators and Their Symbols -- 2 Introduction to Scalar Wiener-Hopf Operators -- 3 Scalar Wiener-Hopf Operators with SAP Symbols -- 4 Some Phenomena Caused by SAP Symbols -- 5 Introduction to Matrix Wiener-Hopf Operators -- 6 Factorization of Matrix Functions -- 7 Bohr Compactification -- 8 Existence and Uniqueness ofAPFactorization -- 9 Matrix Wiener-Hopf Operators withAPWSymbols -- 10 Matrix Wiener-Hopf Operators withSAPWSymbols -- 11 Left Versus Right Wiener-Hopf Factorization -- 12 Corona Theorems -- 13 The Portuguese Transformation -- 14 Some Concrete Factorizations -- 15 Scalar Trinomials -- 16 Toeplitz Operators -- 17 Zero-Order Pseudodifferential Operators -- 18 Toeplitz Operators with SAP Symbols on Hardy Spaces -- 19 Wiener-Hopf Operators with SAP Symbols on Lebesgue Spaces -- 20 Hankel Operators on Besicovitch Spaces -- 21 Generalized AP Factorization -- 22 Canonical Wiener-Hopf Factorization via Corona Problems -- 23 Canonical APW Factorization via Corona Problems 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-8152-4

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