{
  "id": "1309.0201",
  "version": "v1",
  "published": "2013-09-01T10:50:19.000Z",
  "updated": "2013-09-01T10:50:19.000Z",
  "title": "Split functions, Fourier transforms and multipliers",
  "authors": [
    "Laura De Carli",
    "Steve Hudson"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We study the effect of a splitting operator S_t on the L^p norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results assume p is an even integer, and are often stronger when f or m has compact support.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-01T10:50:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier transform",
      "split functions",
      "compact support",
      "results assume",
      "operator norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0201D"
    }
  }
}