{
  "id": "1008.2673",
  "version": "v3",
  "published": "2010-08-16T14:42:31.000Z",
  "updated": "2014-08-31T12:45:47.000Z",
  "title": "On Embedding problem of linear fractional maps on the unit ball of $\\mathbb{C}^{N}$",
  "authors": [
    "Ren-Yu Chen",
    "Ze-Hua Zhou"
  ],
  "comment": "22 Pages",
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "This paper focuses on the embedding problem of linear fractional maps which explains when a linear fractional self-map of $B_{N}$ can be a member of a semigroup of holomorphic self-maps on the unit ball $B_{N}$ of the complex $N$-dimensional Euclidean space $\\mathbb{C}^{N}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-13T15:45:02.000Z",
      "comment": "27 Pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-08-31T12:45:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B38",
      "32A30",
      "32H15",
      "30C45"
    ],
    "keywords": [
      "linear fractional maps",
      "unit ball",
      "embedding problem",
      "dimensional euclidean space",
      "linear fractional self-map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2673C"
    }
  }
}