Spectral decomposition and matrix-valued orthogonal polynomials

DOI10.1016/j.aim.2013.04.025zbMath1286.42035arXiv1206.4785OpenAlexW2046252237MaRDI QIDQ2437406

Mourad E. H. Ismail, H. T. Koelink, W. G. M. Groenevelt

Publication date: 3 March 2014

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

Full work available at URL: https://arxiv.org/abs/1206.4785

zbMATH Keywords

spectral theorymatrix-valued orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

A hypergeometric function transform and matrix-valued orthogonal polynomials ⋮ Matrix-valued Gegenbauer-type polynomials ⋮ Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers ⋮ Doubly infinite Jacobi matrices revisited: resolvent and spectral measure ⋮ Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials ⋮ Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice ⋮ Matrix-valued little \(q\)-Jacobi polynomials

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