A sequence of matrix valued orthogonal polynomials associated to spherical functions

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dc.creatorPacharoni, I.
dc.creatorRoman, P.
dc.date2007-02-16
dc.date.accessioned2026-07-07T07:47:21Z
dc.date.available2026-07-07T07:47:21Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/math/0702494
dc.identifierhttp://arxiv.org/abs/math/0702494
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124140
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subject33C45
dc.titleA sequence of matrix valued orthogonal polynomials associated to spherical functions
dc.typetext

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