Operator Theory: Advances and Applications

Convolution Operators and Factorization of Almost Periodic Matrix Functions

Authors: Böttcher, Albrecht, Karlovich, Yuri I., Rodman, Leiba

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About this book

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

Table of contents (23 chapters)

Table of contents (23 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-0348-8152-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $139.99
price for USA in USD
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Convolution Operators and Factorization of Almost Periodic Matrix Functions
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
131
Copyright
2002
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-8152-4
DOI
10.1007/978-3-0348-8152-4
Hardcover ISBN
978-3-7643-6672-8
Softcover ISBN
978-3-0348-9457-9
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XI, 462
Topics