{
  "id": "1711.07519",
  "version": "v1",
  "published": "2017-11-20T19:55:24.000Z",
  "updated": "2017-11-20T19:55:24.000Z",
  "title": "Miyachi's Theorem for the Quaternion Fourier Transform",
  "authors": [
    "Youssef El Haoui",
    "Said Fahlaoui"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The quaternion Fourier transform (QFT) satisfies some uncertainty principles similar to the Euclidean Fourier transform. In this paper, we establish Miyachi's theorem for this transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-20T19:55:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30G30",
      "42B10",
      "43A32"
    ],
    "keywords": [
      "quaternion fourier transform",
      "euclidean fourier transform",
      "uncertainty principles similar",
      "establish miyachis theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}