{
  "id": "2009.14230",
  "version": "v1",
  "published": "2020-09-29T18:05:29.000Z",
  "updated": "2020-09-29T18:05:29.000Z",
  "title": "On theorems of Chernoff and Ingham on the Heisenberg group",
  "authors": [
    "Sayan Bagchi",
    "Pritam Ganguly",
    "Jayanta Sarkar",
    "Sundaram Thangavelu"
  ],
  "comment": "25 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We prove an analogue of Chernoff's theorem for the sublaplacian on the Heisenberg group and use it prove a version of Ingham's theorem for the Fourier transform on the same group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-29T18:05:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A80",
      "22E25",
      "33C45",
      "26E10",
      "46E35"
    ],
    "keywords": [
      "heisenberg group",
      "chernoffs theorem",
      "inghams theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}