{
  "id": "1511.05793",
  "version": "v1",
  "published": "2015-11-18T14:14:06.000Z",
  "updated": "2015-11-18T14:14:06.000Z",
  "title": "Cusp forms for reductive symmetric spaces of split rank one",
  "authors": [
    "Erik P. van den Ban",
    "Job J. Kuit"
  ],
  "comment": "76 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "For reductive symmetric spaces G/H of split rank one we identify a class of minimal parabolic subgroups for which certain cuspidal integrals of Harish-Chandra - Schwartz functions are absolutely convergent. Using these integrals we introduce a notion of cusp forms and investigate its relation with representations of the discrete series for G/H.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-18T14:14:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E30",
      "22E45"
    ],
    "keywords": [
      "split rank",
      "cusp forms",
      "reductive symmetric spaces g/h",
      "minimal parabolic subgroups",
      "cuspidal integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 76,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151105793V"
    }
  }
}