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

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Editorial IntroductionTo explain the background of this part of the book consider . where k is an m × m matrix-valued function of which the entries are in L.(-∞, ∞) and I stands for the m × m identity matrix.
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Explicit Wiener-Hopf Factorization and RealizationExplicit formulas for Wiener-Hopf factorization of rational matrix and analytic operator functions relative to a closed contour are constructed. The formulas are given in terms of a realization of the functions. Also formulas for the factorization indices are given.
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Invariants for Wiener-Hopf Equivalence of Analytic Operator FunctionsNecessary conditions for Wiener-Hopf equivalence are established in terms of the incoming and outgoing subspaces associated with realizations of the given analytic operator functions. Other results about the behaviour of the incoming and outgoing subspaces under certain elementary operations are also included.
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https://doi.org/10.1007/978-3-0348-7418-2Eigenvalue; matrices; matrix
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978-3-0348-7420-5Birkhäuser Verlag Basel 1986
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Constructive Methods of Wiener-Hopf Factorization978-3-0348-7418-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Extracranial Cerebral Arteries,l Wiener-Hopf factorization. Formulas for the factors in a right factorization are given in terms of the formulas for the factors in a given left factorization. Both symmetric and nonsymmetric factorizations are discussed.
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