Constructive Methods of Wiener-Hopf Factorization

Name: Constructive Methods of Wiener-Hopf Factorization
SKU: 21698580
Price: 141.99 AUD
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Paperback / softback

Series:

Operator Theory: Advances and Applications

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Description

The main part of this paper concerns Toeplitz operators of which the symbol W is an m x m matrix function defined on a disconnected curve r. The curve r is assumed to be the union of s + 1 nonintersecting simple smooth closed contours rOo r •. . . • rs which form the positively l oriented boundary of a finitely connected bounded domain in t. Our main requirement on the symbol W is that on each contour rj the function W is the restriction of a rational matrix function Wj which does not have poles and zeros on rj and at infinity. Using the realization theorem from system theory (see. e. g . • [1]. Chapter 2) the rational matrix function Wj (which differs from contour to contour) may be written in the form 1 (0. 1) W . (A) = I + C. (A - A. f B. A E r· J J J J J where Aj is a square matrix of size nj x n• say. B and C are j j j matrices of sizes n. x m and m x n . • respectively. and the matrices A. J x J J and Aj = Aj - BjC have no eigenvalues on r . (In (0. 1) the functions j j Wj are normalized to I at infinity.

Release date Australia

April 19th, 2012

Author

Series

Operator Theory: Advances and Applications

Pages

410

Edition

Softcover reprint of the original 1st ed. 1986

Audience

Professional & Vocational

Illustrations

XII, 410 p.

Dimensions

170x244x21

ISBN-13

9783034874205

Product ID

21698580

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