{
  "id": "1406.6244",
  "version": "v1",
  "published": "2014-06-24T14:13:24.000Z",
  "updated": "2014-06-24T14:13:24.000Z",
  "title": "On regular families of cardinal interpolators and multiresolution analyses",
  "authors": [
    "Jeff Ledford"
  ],
  "comment": "keywords: multiresoultion analyses, splines, multiquadric 7 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In this short note, we investigate the relationship between so-called regular families of cardinal interpolators and multiresolution analyses. We focus our studies on examples of regular families of cardinal interpolators whose Fourier transform is unbounded at the origin. In particular, we show that when this is the case there is a multiresolution analysis corresponding to each member of a regular family of cardinal interpolators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-24T14:13:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C15",
      "41A15",
      "41A63"
    ],
    "keywords": [
      "cardinal interpolators",
      "regular family",
      "multiresolution analyses",
      "short note",
      "fourier transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.6244L"
    }
  }
}