{
  "id": "math/0506345",
  "version": "v1",
  "published": "2005-06-17T09:06:16.000Z",
  "updated": "2005-06-17T09:06:16.000Z",
  "title": "Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real line",
  "authors": [
    "Nils Byrial Andersen",
    "Marcel de Jeu"
  ],
  "comment": "9 pp., LaTeX, no figures; final version, to appear in Int. Math. Res. Not",
  "journal": "Int. Math. Res. Not. 2005, 1817--1831.",
  "categories": [
    "math.CA",
    "math.RT"
  ],
  "abstract": "We give an elementary proof of the Paley-Wiener theorem for smooth functions for the Dunkl transforms on the real line, establish a similar theorem for L^2-functions and prove identities in the spirit of Bang for L^p-functions. The proofs seem to be new also in the special case of the Fourier transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-17T09:06:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A15",
      "42A38",
      "33C52"
    ],
    "keywords": [
      "dunkl transform",
      "real line",
      "elementary proof",
      "paley-wiener theorem",
      "fourier transform"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6345B"
    }
  }
}