A sequence of matrix valued orthogonal polynomials associated to spherical functions
Representation Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The main purpose of this paper is to obtain an explicit expression of a family of matrix valued orthogonal polynomials {P_n}_n, with respect to a weight W, that are eigenfunctions of a second order differential operator D. The weight W and the differential operator D were found in [12], using some aspects of the theory of the spherical functions associated to the complex projective spaces. We also find other second order differential operator E symmetric with respect to W and we describe the algebra generated by D and E.
Cite
@article{arxiv.math/0702494,
title = {A sequence of matrix valued orthogonal polynomials associated to spherical functions},
author = {I. Pacharoni and P. Roman},
journal= {arXiv preprint arXiv:math/0702494},
year = {2007}
}