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Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials

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https://doi.org/10.1016/j.aim.2023.109313

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2023

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Elsevier
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https://hdl.handle.net/20.500.14352/96436

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Amílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas, Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials, Advances in Mathematics, Volume 434, 2023, 109313, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2023.109313.

Abstract

Spectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a set positive Lebesgue-Stieltjes measures. A mixed multiple Gauss quadrature formula with corresponding degrees of precision is given.

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Análisis matemático

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1202 Análisis y Análisis Funcional

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