Albrecht Böttcher

(Author)

Convolution Operators and Factorization of Almost Periodic Matrix Functions (2002)Hardcover - 2002, 1 February 2002

Convolution Operators and Factorization of Almost Periodic Matrix Functions (2002)
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Part of Series
Operator Theory: Advances and Applications
Part of Series
Operator Theory, Advances and Applications
Part of Series
Operator Theory: Advances and Applications Operator Theory:
Print Length
462 pages
Language
English
Publisher
Birkhauser
Date Published
1 Feb 2002
ISBN-10
3764366729
ISBN-13
9783764366728

Description

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

Product Details

Authors:
Albrecht BöttcherYuri I KarlovichIlya M Spitkovsky
Book Edition:
2002
Book Format:
Hardcover
Country of Origin:
US
Date Published:
1 February 2002
Dimensions:
23.39 x 15.6 x 2.69 cm
ISBN-10:
3764366729
ISBN-13:
9783764366728
Language:
English
Location:
Basel
Pages:
462
Publisher:
Weight:
843.68 gm

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