{
  "id": "0804.0245",
  "version": "v2",
  "published": "2008-04-02T16:58:01.000Z",
  "updated": "2008-04-11T18:27:32.000Z",
  "title": "Shannon Multiresolution Analysis on the Heisenberg Group",
  "authors": [
    "Azita Mayeli"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA",
    "math.RT"
  ],
  "abstract": "We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, we shall define a sinc-type function which is our starting point for obtaining the scaling function. Further, we shall give a concrete example of a wavelet FMRA on the Heisenberg group which is analogous to the Shannon MRA on $\\RR$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-11T18:27:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E25",
      "22E27"
    ],
    "keywords": [
      "heisenberg group",
      "shannon multiresolution analysis",
      "frame multiresolution analysis",
      "shannon mra",
      "sinc-type function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jmaa.2008.07.035",
      "journal": "Journal of Mathematical Analysis and Applications",
      "year": 2008,
      "month": "Dec",
      "volume": 348,
      "number": 2,
      "pages": 671
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JMAA..348..671M"
    }
  }
}