{
  "id": "math/0510423",
  "version": "v1",
  "published": "2005-10-20T01:28:17.000Z",
  "updated": "2005-10-20T01:28:17.000Z",
  "title": "Random Menshov spectra",
  "authors": [
    "Gady Kozma",
    "Alexander Olevskii"
  ],
  "comment": "6 pages. Very similar to journal version",
  "journal": "Proc. Amer. Math. Soc. 131:6 (2003), 1901-1906",
  "categories": [
    "math.CA"
  ],
  "abstract": "We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum of harmonics almost surely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-20T01:28:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A63",
      "42A61",
      "42A55"
    ],
    "keywords": [
      "random menshov spectra",
      "random perturbation",
      "frequencies",
      "measurable function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10423K"
    }
  }
}