{
  "id": "1302.6730",
  "version": "v1",
  "published": "2013-02-27T11:36:49.000Z",
  "updated": "2013-02-27T11:36:49.000Z",
  "title": "Sufficient conditions for sampling and interpolation on the sphere",
  "authors": [
    "J. Marzo",
    "B. Pridhnani"
  ],
  "categories": [
    "math.CA",
    "math.FA",
    "math.SP"
  ],
  "abstract": "We obtain sufficient conditions for arrays of points, $\\mathcal{Z}=\\{\\mathcal{Z}(L) \\}_{L\\ge 1},$ on the unit sphere $\\mathcal{Z}(L)\\subset \\mathbb{S}^d,$ to be Marcinkiewicz-Zygmund and interpolating arrays for spaces of spherical harmonics. The conditions are in terms of the mesh norm and the separation radius of $\\mathcal{Z}(L)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-27T11:36:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sufficient conditions",
      "interpolation",
      "unit sphere",
      "mesh norm",
      "separation radius"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.6730M"
    }
  }
}