{
  "id": "2010.04464",
  "version": "v1",
  "published": "2020-10-09T09:44:22.000Z",
  "updated": "2020-10-09T09:44:22.000Z",
  "title": "A Paley-Wiener theorem for Harish-Chandra modules",
  "authors": [
    "Heiko Gimperlein",
    "Bernhard Krötz",
    "Job J. Kuit",
    "Henrik Schlichtkrull"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-09T09:44:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harish-chandra modules",
      "paley-wiener theorem",
      "real reductive group",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}