{
  "id": "1612.01856",
  "version": "v1",
  "published": "2016-12-06T15:21:28.000Z",
  "updated": "2016-12-06T15:21:28.000Z",
  "title": "Another approach to Juhl's conformally covariant differential operators from $S^n$ to $S^{n-1}$",
  "authors": [
    "Jean-Louis Clerc"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "A new construction of Juhl's conformally covariant differential operators from $S^n$ to $S^{n-1}$ (or from $\\mathbb R^n$ to $\\mathbb R^{n-1}$) is proposed. They are obtained as the composition of a new family of differential operators on $S^n$, covariant under the subgroup of conformal transformations of $S^n$ preserving $S^{n-1}$, followed by the restriction from $S^n$ to $S^{n-1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-06T15:21:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E45",
      "43A85"
    ],
    "keywords": [
      "juhls conformally covariant differential operators",
      "conformal transformations",
      "construction",
      "composition",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}