{
  "id": "math/0211030",
  "version": "v2",
  "published": "2002-11-02T15:57:26.000Z",
  "updated": "2003-11-20T17:02:00.000Z",
  "title": "On the absolute convergence of the spectral side of the Arthur trace formula for GL(n)",
  "authors": [
    "Werner Mueller",
    "Birgit Speh",
    "Erez M. Lapid"
  ],
  "comment": "33 pages, Appendix (by Erez M. Lapid) added by which the K-finiteness assumption in the previous version has been lifted",
  "categories": [
    "math.RT",
    "math.SP"
  ],
  "abstract": "Let G be the group GL(n) over a number field E and let A be the ring of adeles of E. In this paper we prove that the spectral side of the Arthur trace formula for G is absolutely convergent for all integrable rapidly decreasing functions on $G(A)^1$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-11-20T17:02:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E40",
      "58G25"
    ],
    "keywords": [
      "arthur trace formula",
      "spectral side",
      "absolute convergence",
      "group gl",
      "number field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11030M"
    }
  }
}