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Constructive Methods of Wiener-Hopf Factorization: 21 (Operator Theory: Advances and Applications) - Hardcover
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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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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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Constructive Methods of Wiener-Hopf Factorization
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 409 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 202056/2
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Constructive Methods of Wiener-Hopf Factorization
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Zustand: Gut. Zustand: Gut | Seiten: 409 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 202056/3
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Constructive methods of Wiener-Hopf factorization. Operator theory; Bd. 21.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02651 3764318260 Sprache: Englisch Gewicht in Gramm: 1050. Bestandsnummer des Verkäufers 2488525
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