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Nome campo	dettagli
Dewey Class	515
Titolo	Constructive Methods of Wiener-Hopf Factorization ([EBook]) / edited by I. Gohberg, M. A. Kaashoek.
Added Personal Name	Gohberg, Israel , 1928-2009
Added Personal Name	Kaashoek, M. A.
Other name(s)	SpringerLink (Online service)
Pubblicazione	Basel : Birkhäuser , 1986.
Physical Details	XII, 410 pages : online resource.
Serie	OT 21: Operator Theory: Advances and Applications ; 21
ISBN	9783034874182
Summary Note	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.:
Contents note	I: 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-7418-2
Link alle Opere Legate	Riferimenti soggetto: . Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Authors: editor . Gohberg, Israel 1928-2009 . Gohberg, Israel, 1928-2009. . Kaashoek, M. A. . Corporate Authors: SpringerLink (Online service) . Series: OT 21: Operator Theory: Advances and Applications . Classification: 515 .

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Constructive Methods of Wiener-Hopf Factorization

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