Titlebook: Constructive Methods of Wiener-Hopf Factorization; I. Gohberg,M. A. Kaashoek Book 1986 Birkh?user Verlag Basel 1986 Eigenvalue.matrices.ma

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On Toeplitz and Wiener-Hopf Operators with Contourwise Rational Matrix and Operator Symbols operators with symbols defined on a curve composed of several non-intersecting simple closed contours. Also criteria and explicit formulas for canonical factorization of matrix functions relative to a compound contour are presented. The matrix functions we work with are rational on each of the comp

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Canonical Pseudo-Spectral Factorization and Wiener-Hopf Integral Equationstorization is introduced, and all possible factorizations of this type are described in terms of realizations of the symbol and certain supporting projections. With each canonical pseudo-spectral factorization is related a pseudo-resolvent kernel, which satisfies the resolvent identities and is used

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https://doi.org/10.1007/978-3-642-02460-3y matrix. A . of W relative to the real line is a multiplicative decomposition: . in which the factors W. and W. are of the form . where k. and k. are m × m matrix functions with entries in L. (-∞,0] and L.[0, ∞), respectively, and

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On Toeplitz and Wiener-Hopf Operators with Contourwise Rational Matrix and Operator Symbols results are stated in terms of invertibility properties of a certain finite matrix called indicator, which is built from the realizations. The analysis does not depend on finite dimensionality and is carried out for operator valued symbols.