| Constructive Methods of Wiener-Hopf Factorization Softcover Repri Edition Contributor(s): Gohberg (Author), Kaashoek (Author) |
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ISBN: 3034874200 ISBN-13: 9783034874205 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: April 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis |
| Dewey: 515 |
| Series: Operator Theory: Advances and Applications |
| Physical Information: 0.86" H x 6.69" W x 9.61" (1.48 lbs) 410 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
