{
  "id": "math-ph/0606035",
  "version": "v2",
  "published": "2006-06-15T16:20:21.000Z",
  "updated": "2016-05-09T18:12:20.000Z",
  "title": "On adelic model of boson Fock space",
  "authors": [
    "Neretin Yuri"
  ],
  "comment": "8pp",
  "journal": "Amer. Math. Soc. Transl. Ser. 2, 221, 2007, 193-202",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "We construct a canonical embedding of the Schwartz space on $R^n$ to the space of distributions on the adelic product of all the $p$-adic numbers. This map is equivariant with respect to the action of the symplectic group $Sp(2n, Q)$ over rational numbers and with respect to the action of the rational Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-15T16:20:21.000Z",
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-05-09T18:12:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R56",
      "20G35",
      "46F12",
      "65R99"
    ],
    "keywords": [
      "boson fock space",
      "adelic model",
      "rational heisenberg group",
      "schwartz space",
      "rational numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.ph...6035Y"
    }
  }
}