{
  "id": "1806.10884",
  "version": "v1",
  "published": "2018-06-28T11:20:20.000Z",
  "updated": "2018-06-28T11:20:20.000Z",
  "title": "Riesz products and spectral decompositions for rank 1 measure preserving transformations",
  "authors": [
    "Yury A. Neretin"
  ],
  "comment": "11p",
  "categories": [
    "math.DS",
    "math.FA",
    "math.SP"
  ],
  "abstract": "We consider rank one measure preserving transformations $g$ and the corresponding unitary operators $U(g)$. It is known that a generic (in the sense of Baire category) measure preserving transformation has rank one, spectral type of $U(g)$ is purely singular and is given by a Riesz product. We write explicitly spectral decompositions of $U(g)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-28T11:20:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A35",
      "28D05",
      "37A40",
      "42A55",
      "47B15"
    ],
    "keywords": [
      "measure preserving transformation",
      "riesz product",
      "write explicitly spectral decompositions",
      "spectral type",
      "corresponding unitary operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}