{
  "id": "1707.06449",
  "version": "v1",
  "published": "2017-07-20T11:28:29.000Z",
  "updated": "2017-07-20T11:28:29.000Z",
  "title": "Balian-Low type theorems in finite dimensions",
  "authors": [
    "Shahaf Nitzan",
    "Jan-Fredrik Olsen"
  ],
  "comment": "39 pages, 1 figure",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtained in a previous work. Moreover, we show that these results imply their counter-parts on the real line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-20T11:28:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "42A38",
      "39A12"
    ],
    "keywords": [
      "finite dimensions",
      "real line",
      "finite dimensional analogs",
      "quantitative balian-low type theorem",
      "classical balian-low theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}