Title

Spectral Decomposition And Matrix-Valued Orthogonal Polynomials

Keywords

Matrix-valued orthogonal polynomials; Spectral theory

Abstract

The relation between the spectral decomposition of a self-adjoint operator which is realizable as a higher order recurrence operator and matrix-valued orthogonal polynomials is investigated. A general construction of such operators from scalar-valued orthogonal polynomials is presented. Two examples of matrix-valued orthogonal polynomials with explicit orthogonality relations and three-term recurrence relation are presented, which both can be considered as 2×2-matrix-valued analogues of subfamilies of Askey-Wilson polynomials. © 2013 Elsevier Ltd.

Publication Date

9-1-2013

Publication Title

Advances in Mathematics

Volume

244

Number of Pages

91-105

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.aim.2013.04.025

Socpus ID

84879224268 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84879224268

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