书目名称 | Constructive Methods of Wiener-Hopf Factorization |
编辑 | I. Gohberg,M. A. Kaashoek |
视频video | http://file.papertrans.cn/237/236111/236111.mp4 |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1986 |
关键词 | Eigenvalue; matrices; matrix |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-7418-2 |
isbn_softcover | 978-3-0348-7420-5 |
isbn_ebook | 978-3-0348-7418-2Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Birkhäuser Verlag Basel 1986 |