{
  "id": "1711.04142",
  "version": "v1",
  "published": "2017-11-11T14:25:21.000Z",
  "updated": "2017-11-11T14:25:21.000Z",
  "title": "Beurling's Theorem for the Two-sided Quaternion Fourier Transform",
  "authors": [
    "Youssef El Haoui",
    "Said Fahlaoui"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem, Hardy, Cowling-Price and Gelfand-Shilov theorems, is obtained for the two-sided quaternion Fourier transform.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-11T14:25:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B10",
      "11R52",
      "30G35"
    ],
    "keywords": [
      "beurlings theorem",
      "two-sided quaternion fourier transform satisfies",
      "uncertainty principles similar",
      "euclidean fourier transform",
      "gelfand-shilov theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}