{
  "id": "1303.5959",
  "version": "v1",
  "published": "2013-03-24T15:20:27.000Z",
  "updated": "2013-03-24T15:20:27.000Z",
  "title": "Recovery of Paley-Wiener functions using scattered translates of regular interpolators",
  "authors": [
    "Jeff Ledford"
  ],
  "comment": "12 pages, submitted to J. Approx. Theory",
  "journal": "Journal of Approximation Theory (2013), pp. 1-13",
  "doi": "10.1016/j.jat.2013.04.010",
  "categories": [
    "math.FA"
  ],
  "abstract": "It has been shown that Paley-Wiener functions may be recovered from their values on a complete interpolating sequence. This paper explores the same phenomenon, and gives a sufficient condition on a function $\\phi(x)$, called an interpolator, so that scattered translates of this function may be used to interpolate and recover any given Paley-Wiener function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-24T15:20:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C99"
    ],
    "keywords": [
      "paley-wiener function",
      "scattered translates",
      "regular interpolators",
      "sufficient condition",
      "complete interpolating sequence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.5959L"
    }
  }
}