Spectral decomposition and matrix-valued orthogonal polynomials
Abbreviated Journal Title
Matrix-valued orthogonal polynomials; Spectral theory; ASKEY-WILSON POLYNOMIALS; SPHERICAL-FUNCTIONS; SU(2); Mathematics
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.
Advances in Mathematics
"Spectral decomposition and matrix-valued orthogonal polynomials" (2013). Faculty Bibliography 2010s. 4059.