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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
2002, 2002
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| Edition: | 1st ed. 2002 |
| Series: | Operator Theory: Advances and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of 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 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