I. Pacharoni, P. Roman
Published 2007-02-16Version 1
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.
Funciones Esféricas Matriciales Asociadas a las Esferas y a los Espacios Proyectivos Reales
On spherical functions on the group $SU(2)\times SU(2) \times SU(2)$
Majorization and Spherical Functions
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