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portada Constructive Methods of Wiener-Hopf Factorization
Type
Physical Book
Publisher
Language
English
Pages
410
Format
Paperback
Dimensions
24.4x17x2.2 cm
Weight
0.67 kg.
ISBN13
9783034874205
Categories

Constructive Methods of Wiener-Hopf Factorization

Gohberg (Author) · Kaashoek (Author) · Birkhauser · Paperback

Constructive Methods of Wiener-Hopf Factorization - Gohberg ; Kaashoek

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Synopsis "Constructive Methods of Wiener-Hopf Factorization"

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.

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