{
  "id": "1205.0163",
  "version": "v1",
  "published": "2012-05-01T14:12:05.000Z",
  "updated": "2012-05-01T14:12:05.000Z",
  "title": "A quantitative Balian-Low theorem",
  "authors": [
    "Shahaf Nitzan",
    "Jan-Fredrik Olsen"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We study functions generating Gabor Riesz bases on the integer lattice. The classical Balian-Low theorem restricts the simultaneous time and frequency localization of such functions. We obtain a quantitative estimate that extends both this result and other related theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-01T14:12:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "42A38"
    ],
    "keywords": [
      "quantitative balian-low theorem",
      "study functions generating gabor riesz",
      "functions generating gabor riesz bases",
      "classical balian-low theorem restricts",
      "integer lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0163N"
    }
  }
}