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Convolution operators and factorization of almost periodic matrix functions

Author: Albrecht Böttcher; Yuri I Karlovich; Ilya M Spitkovskiĭ
Publisher: Basel ; Boston : Birkhäuser, ©2002.
Series: Operator theory, advances and applications, v. 131.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The book is addressed to a wide audience in the mathematical and engineering sciences. It is accessible to readers with basic knowledge in functional, real, complex, and harmonic analysis, and it is of interest to everyone who has to deal with the factorization of operators or matrix functions."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Albrecht Böttcher; Yuri I Karlovich; Ilya M Spitkovskiĭ
ISBN: 3764366729 9783764366728 0817666729 9780817666729
OCLC Number: 48177365
Description: xi, 462 pages : illustrations ; 24 cm.
Contents: 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 of AP Factorization --
9. Matrix Wiener-Hopf Operators with APW Symbols --
10. Matrix Wiener-Hopf Operators with SAPW Symbols --
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.
Series Title: Operator theory, advances and applications, v. 131.
Responsibility: Albrecht Böttcher, Yuri I. Karlovich, Ilya M. Spitkovsky.
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Abstract:

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.  Read more...

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