{
  "id": "1910.13381",
  "version": "v1",
  "published": "2019-10-29T16:45:13.000Z",
  "updated": "2019-10-29T16:45:13.000Z",
  "title": "Local Wiener's Theorem and Coherent Sets of Frequencies",
  "authors": [
    "Serhii Favorov"
  ],
  "comment": "7 pages, References 21 items",
  "categories": [
    "math.CA"
  ],
  "abstract": "Using a local analog of the Wiener-Levi theorem, we investigate the class of measures on Euclidean space with discrete support and spectrum. Also, we find a new sufficient conditions for a discrete set in Euclidean space to be a coherent set of frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-29T16:45:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A75",
      "42B10"
    ],
    "keywords": [
      "local wieners theorem",
      "coherent set",
      "frequencies",
      "euclidean space",
      "discrete support"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}