Title

Spectral decomposition and matrix-valued orthogonal polynomials

Authors

Authors

W. Groenevelt; M. E. H. Ismail;E. Koelink

Comments

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Abbreviated Journal Title

Adv. Math.

Keywords

Matrix-valued orthogonal polynomials; Spectral theory; ASKEY-WILSON POLYNOMIALS; SPHERICAL-FUNCTIONS; SU(2); Mathematics

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 x 2-matrix-valued analogues of subfamilies of Askey-Wilson polynomials. (C) 2013 Elsevier Inc. All rights reserved.

Journal Title

Advances in Mathematics

Volume

244

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

91

Last Page

105

WOS Identifier

WOS:000322423500005

ISSN

0001-8708

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