{
  "id": "math/0501022",
  "version": "v1",
  "published": "2005-01-02T17:43:43.000Z",
  "updated": "2005-01-02T17:43:43.000Z",
  "title": "Horospherical Cauchy-Radon transform on compact symmetric spaces",
  "authors": [
    "Simon Gindikin"
  ],
  "comment": "6 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Harmonic analysis on noncompact Riemannian symmetric spaces is in a sense equivalent to the theory of the horospherical transform. There are no horospheres on compact symmetric spaces, but we define a complex version of horospherical transform which plays a similar role for the harmonic analysis on them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-02T17:43:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46"
    ],
    "keywords": [
      "compact symmetric spaces",
      "horospherical cauchy-radon transform",
      "noncompact riemannian symmetric spaces",
      "harmonic analysis",
      "horospherical transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1022G"
    }
  }
}