{
  "id": "1701.09114",
  "version": "v1",
  "published": "2017-01-31T16:19:17.000Z",
  "updated": "2017-01-31T16:19:17.000Z",
  "title": "A function with support of finite measure and \"small\" spectrum",
  "authors": [
    "Fedor Nazarov",
    "Alexander Olevskii"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We construct a function on the real line supported on a set of finite measure whose spectrum has density zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-31T16:19:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A38"
    ],
    "keywords": [
      "finite measure",
      "real line",
      "density zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}