{
  "id": "math/0511016",
  "version": "v2",
  "published": "2005-11-01T10:20:17.000Z",
  "updated": "2006-10-15T10:00:28.000Z",
  "title": "Fourier transform of a Gaussian measure on the Heisenberg group",
  "authors": [
    "Matyas Barczy",
    "Gyula Pap"
  ],
  "comment": "38 pages, completed version",
  "journal": "Annales de l'Institut Henri Poincare (B) Probability and Statistics, Vol. 42, Issue 5, 2006, 607-633",
  "categories": [
    "math.PR"
  ],
  "abstract": "An explicit formula is derived for the Fourier transform of a Gaussian measure on the Heisenberg group at the Schrodinger representation. Using this explicit formula, necessary and sufficient conditions are given for the convolution of two Gaussian measures to be a Gaussian measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-15T10:00:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B15"
    ],
    "keywords": [
      "gaussian measure",
      "heisenberg group",
      "fourier transform",
      "explicit formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006AnIHP..42..607B"
    }
  }
}