{
  "id": "1801.08490",
  "version": "v1",
  "published": "2018-01-25T17:14:47.000Z",
  "updated": "2018-01-25T17:14:47.000Z",
  "title": "Tempered distributions with discrete support and spectrum",
  "authors": [
    "Serhii Favorov"
  ],
  "comment": "10 pages, 20 references",
  "categories": [
    "math.CA"
  ],
  "abstract": "We investigate properties of tempered distributions with discrete or countable supports such that their Fourier transforms are distributions with discrete or countable supports as well. We find sufficient conditions for support of the distribution to be a finite union of translations of a full-rank lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-25T17:14:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46F12",
      "42B10"
    ],
    "keywords": [
      "tempered distributions",
      "discrete support",
      "countable supports",
      "sufficient conditions",
      "full-rank lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}