{
  "id": "math/0207142",
  "version": "v1",
  "published": "2002-07-17T11:07:52.000Z",
  "updated": "2002-07-17T11:07:52.000Z",
  "title": "Non-MSF wavelets for the Hardy space H^2(\\R)",
  "authors": [
    "Biswaranjan Behera"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove three results on wavelets for the Hardy space H^2(\\R). All wavelets constructed so far for H^2(\\R) are MSF wavelets. We construct a family of H^2-wavelets which are not MSF. An equivalence relation on H^2-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H^2-wavelets with Fourier transform discontinuous at the origin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-17T11:07:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C40"
    ],
    "keywords": [
      "hardy space",
      "non-msf wavelets",
      "equivalence relation",
      "corresponding equivalence classes",
      "fourier transform discontinuous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7142B"
    }
  }
}