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 . · . 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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Book Description Birkhäuser, 1986. Book Condition: Good. Volume 21. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Bookseller Inventory # 4810937
Book Description BirkhÃ¤user Basel, 1986. Hardcover. Book Condition: Good. Ex-library copy with usual markings. Cover shows minor wear. Pages are clean, text and pictures are intact and unmarred. Bookseller Inventory # mon0001489246
Book Description Birkhäuser, 1986. Book Condition: Fair. Volume 21. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. , 1000grams, ISBN:3764318260. Bookseller Inventory # 6869969