The zeros of determinants of matrix-valued polynomials that are orthonormal on a semi-infinite or finite interval

DOI10.1070/SM9004OpenAlexW2896750910MaRDI QIDQ4624851

Yuriy M. Dyukarev

Publication date: 19 February 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9004

zbMATH Keywords

matrix moment problemnonnegative matrix-valued measureorthogonal matrix-valued polynomialszeros of determinants of orthogonal matrix-valued polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Semi-) Fredholm operators; index theories (47A53)

Cites Work

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• A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems
• Indeterminacy criteria for the Stieltjes matrix moment problem
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Geometric and operator measures of degeneracy for the set of solutions to the Stieltjes matrix moment problem
• The Analytic Theory of Matrix Orthogonal Polynomials
• J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS
• Indeterminacy of interpolation problems in the Stieltjes class

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