{
  "id": "0711.2925",
  "version": "v1",
  "published": "2007-11-19T13:21:53.000Z",
  "updated": "2007-11-19T13:21:53.000Z",
  "title": "Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)",
  "authors": [
    "Erez Lapid",
    "Werner Mueller"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT",
    "math.SP"
  ],
  "abstract": "In this paper we study the asymptotic distribution of the cuspidal spectrum of arithmetic quotients of the symmetric space S=SL(n,R)/SO(n). In particular, we obtain Weyl's law with an estimation on the remainder term. This extends results of Duistermaat-Kolk-Varadarajan on spectral asymptotics for compact locally symmetric spaces to this non-compact setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-19T13:21:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70",
      "11F72"
    ],
    "keywords": [
      "arithmetic quotients",
      "spectral asymptotics",
      "compact locally symmetric spaces",
      "cuspidal spectrum",
      "asymptotic distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.2925L"
    }
  }
}