{
  "id": "1401.1353",
  "version": "v1",
  "published": "2014-01-07T12:00:44.000Z",
  "updated": "2014-01-07T12:00:44.000Z",
  "title": "Linear Independence of Time-Frequency Shifts?",
  "authors": [
    "Karlheinz Gröchenig"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We investigate finite sections of Gabor frames and study the asymptotic behavior of their lower Riesz bound. From a numerical point of view, these sets of time-frequency shifts are linearly dependent, whereas from a rigorous analytic point of view, they are conjectured to be linearly independent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-07T12:00:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "42C30"
    ],
    "keywords": [
      "time-frequency shifts",
      "linear independence",
      "lower riesz bound",
      "finite sections",
      "rigorous analytic point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.1353G"
    }
  }
}