A sequence of matrix valued orthogonal polynomials associated to spherical functions

I. PACHARONI, P. ROMÁN

CONSTRUCTIVE APPROXIMATION

Springer Verlag

Lugar: Nueva York; Año: 2006 p. 1 - 25

0176-4276

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.