{
  "id": "1401.2893",
  "version": "v1",
  "published": "2014-01-13T16:10:01.000Z",
  "updated": "2014-01-13T16:10:01.000Z",
  "title": "Recovery of bivariate band limited functions using scattered translates of the Poisson kernel",
  "authors": [
    "Jeff Ledford"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper continues the study of interpolation operators on scattered data. We introduce the Poisson interpolation operator and prove various properties. The main result concerns functions in the Paley-Wiener space $PW_{B_\\beta}$, and shows that one may recover these functions from their samples on a complete interpolating sequence for $[-\\delta,\\delta]^2$ by using the Poisson interpolation operator, provided that $0<\\beta < (3-\\sqrt{8})\\delta$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-13T16:10:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A63",
      "41A05"
    ],
    "keywords": [
      "bivariate band limited functions",
      "poisson kernel",
      "scattered translates",
      "poisson interpolation operator",
      "main result concerns functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.2893L"
    }
  }
}