{
  "id": "math/0508577",
  "version": "v1",
  "published": "2005-08-29T17:34:02.000Z",
  "updated": "2005-08-29T17:34:02.000Z",
  "title": "A remark on Littlewood-Paley theory for the distorted Fourier transform",
  "authors": [
    "Wilhelm Schlag"
  ],
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the usual Mikhlin multiplier theorem relative to the distorted Fourier transform holds in the range (3/2,3) at least for radial functions and potentials. The restricted range is due to the fact that the Schroedinger operator which gives rise to the distorted Fourier transform may have a zero energy resonance. Consequently, the Littlewood-Paley theorem is shown also only for the range (3/2,3).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-29T17:34:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L25",
      "42A45"
    ],
    "keywords": [
      "littlewood-paley theory",
      "distorted fourier transform holds",
      "zero energy resonance",
      "usual mikhlin multiplier theorem relative"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8577S"
    }
  }
}