{
  "id": "1806.07881",
  "version": "v1",
  "published": "2018-06-20T08:51:40.000Z",
  "updated": "2018-06-20T08:51:40.000Z",
  "title": "A continuous spherical wavelet transform for~$\\mathcal C(\\mathcal S^n)$",
  "authors": [
    "Ilona Iglewska-Nowak"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "In the present paper, a wavelet family over the $n$-dimensional sphere is constructed such that for each scale the wavelet is a polynomial and the inverse wavelet transform of a continuous function converges in the supremum norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-20T08:51:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40",
      "42B20"
    ],
    "keywords": [
      "continuous spherical wavelet transform",
      "inverse wavelet transform",
      "dimensional sphere",
      "continuous function converges",
      "supremum norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}