{
  "id": "math/0506282",
  "version": "v1",
  "published": "2005-06-14T18:20:12.000Z",
  "updated": "2005-06-14T18:20:12.000Z",
  "title": "Analyticity on translates of a Jordan curve",
  "authors": [
    "Josip Globevnik"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "Let C be real-analytic simple closed curve in the complex plane which is symmetric with respect to the real axis. Let r>0 be such that C+ir misses C-ir. We prove that if a continuous function f extends holomorphically from C+it for each t in [-r,r] then f is holomorphic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-14T18:20:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jordan curve",
      "analyticity",
      "translates",
      "real-analytic simple closed curve",
      "real axis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6282G"
    }
  }
}