{
  "id": "1507.03982",
  "version": "v1",
  "published": "2015-07-14T19:48:51.000Z",
  "updated": "2015-07-14T19:48:51.000Z",
  "title": "A counterexample to the B-spline conjecture for Gabor frames",
  "authors": [
    "Jakob Lemvig",
    "Kamilla Haahr Nielsen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The frame set conjecture for B-splines states that the frame set is the maximal set that avoids the known obstructions. We show that this conjecture is false for the hat function $B_2$. On the other hand, we uncover a new region belonging to the frame set for $B_N$, $N \\ge 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-14T19:48:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15"
    ],
    "keywords": [
      "gabor frames",
      "b-spline conjecture",
      "counterexample",
      "frame set conjecture",
      "b-splines states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150703982L"
    }
  }
}