{
  "id": "1806.08051",
  "version": "v1",
  "published": "2018-06-21T02:51:43.000Z",
  "updated": "2018-06-21T02:51:43.000Z",
  "title": "Decay of conical averages of the Fourier transform",
  "authors": [
    "Terence L. J. Harris"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "Some improved $L^2$ fractal-type inequalities are obtained for the wave equation, using the analogue of the Du-Zhang method for the Schr\\\"odinger equation. These improve the known decay rates of conical averages for the Fourier transform of measures, in dimensions $d \\geq 4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-21T02:51:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B37",
      "42B10"
    ],
    "keywords": [
      "fourier transform",
      "conical averages",
      "decay rates",
      "wave equation",
      "du-zhang method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}