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The Analytic Theory of Matrix Orthogonal Polynomials

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arxiv 0711.2703 v2 pith:YX6P7B6P submitted 2007-11-16 math.CA math.SP

The Analytic Theory of Matrix Orthogonal Polynomials

David Damanik (Rice) , Alexander Pushnitski (King's College) , Barry Simon (Caltech) This is my paper
classification math.CA math.SP
keywords analyticmatrixorthogonalpolynomialstheorygivesurvey
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We give a survey of the analytic theory of matrix orthogonal polynomials.

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  1. Banded Hermitian Matrices, Matrix Orthogonal Polynomials, and the Toda Lattice

    math.SP 2026-04 unverdicted novelty 6.0

    Explicit reconstruction procedure for banded Hermitian matrices from matrix-valued spectral measures, with necessary and sufficient conditions, linked to Toda lattice dynamics.