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MARC 21

Constructive Methods of Wiener-Hopf Factorization
Tag	Description
020	$a9783034874182
082	$a515
099	$aOnline resource : Birkhäuser
245	$aConstructive Methods of Wiener-Hopf Factorization$h[EBook]$cedited by I. Gohberg, M. A. Kaashoek.
260	$aBasel$bBirkhäuser$c1986.
300	$aXII, 410 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aOT 21: Operator Theory: Advances and Applications ;$v21
505	$aI: Canonical and Minimal Factorization -- Editorial introduction -- Left Versus Right Canonical Factorization -- Wiener-Hopf Equations With Symbols Analytic In A Strip -- On Toeplitz and Wiener-Hopf Operators with Contour-Wise Rational Matrix and Operator Symbols -- Canonical Pseudo-Spectral Factorization and Wiener-Hopf Integral Equations -- Minimal Factorization of Integral operators and Cascade Decompositions of Systems -- II: Non-Canonical Wiener-Hopf Factorization -- Editorial introduction -- Explicit Wiener-Hopf Factorization and Realization -- Invariants for Wiener-Hopf Equivalence of Analytic Operator Functions -- Multiplication by Diagonals and Reduction to Canonical Factorization -- Symmetric Wiener-Hopf Factorization of Self-Adjoint Rational Matrix Functions and Realization.
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aGohberg, Israel$d1928-2009$eeditor.
700	$aKaashoek, M. A.$eeditor.
710	$aSpringerLink (Online service)
830	$aOT 21: Operator Theory: Advances and Applications ;$v21
856	$uhttp://dx.doi.org/10.1007/978-3-0348-7418-2