{
  "id": "1705.08191",
  "version": "v1",
  "published": "2017-05-23T11:36:05.000Z",
  "updated": "2017-05-23T11:36:05.000Z",
  "title": "On the analytic properties of intertwining operators II: local degree bounds and limit multiplicities",
  "authors": [
    "Tobias Finis",
    "Erez Lapid"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper we continue to study the degrees of matrix coefficients of intertwining operators associated to reductive groups over $p$-adic local fields. Together with previous analysis of global normalizing factors we can control the analytic properties of global intertwining operators for a large class of reductive groups over number fields, in particular for inner forms of $GL(n)$ and $SL(n)$ and quasi-split classical groups. This has a direct application to the limit multiplicity problem for these groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-23T11:36:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local degree bounds",
      "analytic properties",
      "reductive groups",
      "adic local fields",
      "limit multiplicity problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}