{
  "id": "1312.6884",
  "version": "v2",
  "published": "2013-12-24T20:19:42.000Z",
  "updated": "2014-12-31T07:04:20.000Z",
  "title": "Quasicrystals and Poisson's summation formula",
  "authors": [
    "Nir Lev",
    "Alexander Olevskii"
  ],
  "comment": "To appear in Inventiones mathematicae",
  "doi": "10.1007/s00222-014-0542-z",
  "categories": [
    "math.CA"
  ],
  "abstract": "We characterize the measures on R which have both their support and spectrum uniformly discrete. A similar result is obtained in R^n for positive measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-24T20:19:42.000Z",
      "abstract": "We characterize the measures on the real line which have both their support and spectrum uniformly discrete. A similar result is obtained in R^n for positive measures.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-31T07:04:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "poissons summation formula",
      "quasicrystals",
      "real line",
      "spectrum uniformly discrete"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.6884L"
    }
  }
}