Matrix Valued Orthogonal Polynomials and the Complex Projective Space

INES PACHARONI; PABLO ROMÁN

Enviado a publicar a: Constructive Approximation

Año: 2006 p. 1 - 19

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 [PT1], 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.