{
  "id": "1610.03616",
  "version": "v1",
  "published": "2016-10-12T06:58:17.000Z",
  "updated": "2016-10-12T06:58:17.000Z",
  "title": "Local integrability of Bessel functions on split groups",
  "authors": [
    "Jingsong Chai"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we prove that the Bessel functions are locally integrable for all connected split reductive linear algebraic groups over a p-adic field $F$ and the Bessel distributions are given by integrals against these Bessel functions, which are previously known only for $GL(2),GL(3)$ proved by Baruch.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-12T06:58:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bessel functions",
      "split groups",
      "local integrability",
      "split reductive linear algebraic groups",
      "connected split reductive linear algebraic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}