{
  "id": "0801.0462",
  "version": "v1",
  "published": "2008-01-03T01:47:01.000Z",
  "updated": "2008-01-03T01:47:01.000Z",
  "title": "Analytic continuation from a family of lines",
  "authors": [
    "Alexander Tumanov"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CV"
  ],
  "abstract": "Given a function f in the exterior of a convex curve in the real plane, we prove that if the restrictions of f to the tangent lines to the curve extend as entire functions, then the function f is an entire function of two variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-03T01:47:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32D15",
      "32V25"
    ],
    "keywords": [
      "analytic continuation",
      "entire function",
      "convex curve",
      "real plane",
      "tangent lines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0462T"
    }
  }
}