{
  "id": "1403.4474",
  "version": "v1",
  "published": "2014-03-18T14:32:11.000Z",
  "updated": "2014-03-18T14:32:11.000Z",
  "title": "Radial symmetric elements and the Bargmann transform",
  "authors": [
    "Marco Cappiello",
    "Luigi Rodino",
    "Joachim Toft"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that a function or distribution on $\\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on $\\mathbf C$ and the canonical quadratic function from $\\cc d$ to $\\mathbf C$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-18T14:32:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35S05",
      "46F05",
      "33C10",
      "30Gxx"
    ],
    "keywords": [
      "radial symmetric elements",
      "bargmann transform",
      "entire function",
      "canonical quadratic function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4474C"
    }
  }
}