Convolution Operators and Factorization of Almost Periodic Matrix Functions
By:Albrecht Böttcher,Yuri I. Karlovich,Ilya M. Spitkovskiĭ
Published on 2002-02-01 by Springer Science & Business Media
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
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Book ID of Convolution Operators and Factorization of Almost Periodic Matrix Functions's Books is b-MG-hFSwCkC, Book which was written byAlbrecht Böttcher,Yuri I. Karlovich,Ilya M. Spitkovskiĭhave ETAG "qur2pXpfipY"
Book which was published by Springer Science & Business Media since 2002-02-01 have ISBNs, ISBN 13 Code is 9783764366728 and ISBN 10 Code is 3764366729
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