{
  "id": "0804.4648",
  "version": "v1",
  "published": "2008-04-29T16:27:53.000Z",
  "updated": "2008-04-29T16:27:53.000Z",
  "title": "Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions",
  "authors": [
    "G. Kerkyacharian",
    "P. Petrushev",
    "D. Picard",
    "Yuan Xu"
  ],
  "comment": "42 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Besov spaces induced by Laguerre expansions can be characterized in terms of respective sequence spaces that involve the needlet coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-29T16:27:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "42C10",
      "42C40"
    ],
    "keywords": [
      "laguerre expansions",
      "triebel-lizorkin",
      "decomposition",
      "dual frames",
      "laguerre functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.4648K"
    }
  }
}