Titlebook: Interpolation, Schur Functions and Moment Problems; Daniel Alpay,Israel Gohberg Book 2006 Birkhäuser Basel 2006 Factorization.Interpolatio

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Interpolation, Schur Functions and Moment Problems

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https://doi.org/10.1007/3-7643-7547-7Factorization; Interpolation; Inverse problems; Matrix; Moment problem; Shift operator

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Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems,ficients defining the discrete system are strictly pseudo-exponential. The arguments use methods from system theory. An important role is played by the description of the unitary solutions of a related Nehari interpolation problem and by Hankel operators with unimodular symbols. An application to inverse problems for Jacobi matrices is also given.

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,The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases,roach is based on the analysis of central matrix-valued Carathéodory functions which was started in [.] and then continued in [.]. In the nondegenerate situation we will see that the parametrization of the solution set obtained here coincides with the well-known formula of D.Z. Arov and M.G. Krein for that case (see [.]).

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Daniel Alpay,Israel GohbergSecond volume of the subseries Linear Operators and Linear Systems.Contains seven essays on various aspects of Schur analysis

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Interpolation, Schur Functions and Moment Problems978-3-7643-7547-8Series ISSN 0255-0156 Series E-ISSN 2296-4878