{
  "id": "math/0702494",
  "version": "v1",
  "published": "2007-02-16T17:53:25.000Z",
  "updated": "2007-02-16T17:53:25.000Z",
  "title": "A sequence of matrix valued orthogonal polynomials associated to spherical functions",
  "authors": [
    "I. Pacharoni",
    "P. Roman"
  ],
  "categories": [
    "math.RT",
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-16T17:53:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45"
    ],
    "keywords": [
      "matrix valued orthogonal polynomials",
      "spherical functions",
      "second order differential operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2494P"
    }
  }
}