{
  "id": "0909.1620",
  "version": "v1",
  "published": "2009-09-09T04:22:50.000Z",
  "updated": "2009-09-09T04:22:50.000Z",
  "title": "Benedick's theorem for the Heisenberg group",
  "authors": [
    "E. K. Narayanan",
    "P. K. Ratnakumar"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "If $f$ is a compactly supported function on the Heisenberg group and the group Fourier transform $\\hat{f}(\\lambda)$ is a finite rank operator for all $\\lambda$ then $f$ is the zero function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-09T04:22:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10"
    ],
    "keywords": [
      "heisenberg group",
      "benedicks theorem",
      "finite rank operator",
      "group fourier transform",
      "zero function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1620N"
    }
  }
}