{
  "id": "2006.11045",
  "version": "v1",
  "published": "2020-06-19T09:56:30.000Z",
  "updated": "2020-06-19T09:56:30.000Z",
  "title": "Riesz means on locally symmetric spaces",
  "authors": [
    "Effie Papageorgiou"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that for a certain class of $n$ dimensional rank one locally symmetric spaces, if $f \\in L^p$, $1\\leq p \\leq 2$, then the Riesz means of order $z$ of $f$ converge to $f$ almost everywhere, for $\\operatorname{Re}z> (n-1)(1/p-1/2).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-19T09:56:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15",
      "42B08",
      "22E30",
      "22E40"
    ],
    "keywords": [
      "locally symmetric spaces",
      "riesz means",
      "dimensional rank"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}