{
  "id": "1105.2130",
  "version": "v1",
  "published": "2011-05-11T09:11:18.000Z",
  "updated": "2011-05-11T09:11:18.000Z",
  "title": "An homotopy of isometries related to a probability density",
  "authors": [
    "Roland Groux"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We are studying here a family of probability density functions indexed by a real parameter, and constructed from homographic relations between associated Stieltjes transforms. From the analysis of orthogonal polynomials we deduce a family of isometries in relation to the classical operators creating secondary polynomials and we give an application to the explicit resolution of specific integral equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-11T09:11:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isometries",
      "specific integral equations",
      "classical operators creating secondary polynomials",
      "homographic relations",
      "associated stieltjes transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2130G"
    }
  }
}