{
  "id": "1904.04023",
  "version": "v1",
  "published": "2019-03-29T06:28:18.000Z",
  "updated": "2019-03-29T06:28:18.000Z",
  "title": "Benedicks-Amrein-Berthier theorem for the Heisenberg motion group and quaternion Heisenberg group",
  "authors": [
    "Somnath Ghosh",
    "R. K. Srivastava"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we prove that if the group Fourier transform of a certain finitely supported function on the Heisenberg motion group is of arbitrary finite rank, then the function must be zero. We also prove an analogous result on the quaternion Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-29T06:28:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg motion group",
      "quaternion heisenberg group",
      "benedicks-amrein-berthier theorem",
      "arbitrary finite rank",
      "group fourier transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}