Constructive Methods of Wiener-Hopf Factorization: 21 (Operator Theory: Advances and Applications) - Hardcover

Gohberg, Prof. Israel; Kaashoek, M. A.

 
9783764318260: Constructive Methods of Wiener-Hopf Factorization: 21 (Operator Theory: Advances and Applications)
Hardcover
ISBN 10: 3764318260 ISBN 13: 9783764318260
Verlag: Birkhauser Verlag AG, 1986

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhauser Verlag AG
Erscheinungsdatum
1986
Sprache
Englisch
ISBN 10 
3764318260
ISBN 13 
9783764318260
Einband
Tapa dura
Anzahl der Seiten
422
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9783034874205: Constructive Methods of Wiener-Hopf Factorization: 21 (Operator Theory: Advances and Applications)

Vorgestellte Ausgabe

ISBN 10:  3034874200 ISBN 13:  9783034874205
Verlag: Birkhäuser, 2012
Softcover