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Item Details
| Title:
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CONSTRUCTIVE METHODS OF WIENER-HOPF FACTORIZATION
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| By: |
Prof. Israel Gohberg, M. A. Kaashoek |
| Format: |
Paperback |
| List price:
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£72.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3034874200 |
| ISBN 13: |
9783034874205 |
| Publisher: |
SPRINGER BASEL |
| Pub. date: |
19 April, 2012 |
| Edition: |
Softcover reprint of the original 1st ed. 1986 |
| Series: |
Operator Theory: Advances and Applications 21 |
| Pages: |
410 |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Switzerland |
| Imprint: |
Springer Basel |
| Returns: |
Returnable |
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