{
  "id": "1806.07883",
  "version": "v1",
  "published": "2018-06-20T09:02:40.000Z",
  "updated": "2018-06-20T09:02:40.000Z",
  "title": "Uncertainty product of the spherical Abel-Poisson wavelet",
  "authors": [
    "Ilona Iglewska-Nowak"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the present paper, the variances in the space and momentum domains of the spherical Abel-Poisson wavelet, as well as the limit of the uncertainty product for $\\rho\\to0$, where $\\rho$ is the scale parameter, are computed. The values of these quantities coincide with a certain accuracy with those of the spherical Poisson wavelet with $\\tfrac{1}{2}$ substituted for the order parameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-20T09:02:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40"
    ],
    "keywords": [
      "spherical abel-poisson wavelet",
      "uncertainty product",
      "spherical poisson wavelet",
      "quantities coincide",
      "momentum domains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}