{
  "id": "1307.4530",
  "version": "v1",
  "published": "2013-07-17T08:18:38.000Z",
  "updated": "2013-07-17T08:18:38.000Z",
  "title": "Local translations associated to spectral sets",
  "authors": [
    "Dorin Ervin Dutkay",
    "John Haussermann"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In connection to the Fuglede conjecture, we study groups of local translations associated to spectral sets, i.e., measurable sets in $\\br$ or $\\bz$ that have an orthogonal basis of exponential functions. We investigate the connections between the groups of local translations on $\\bz$ and on $\\br$ and present some examples for low cardinality. We present some relations between the group of local translations and tilings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-17T08:18:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local translations",
      "spectral sets",
      "study groups",
      "fuglede conjecture",
      "low cardinality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.4530E"
    }
  }
}