{
  "id": "math/0609778",
  "version": "v1",
  "published": "2006-09-28T02:12:02.000Z",
  "updated": "2006-09-28T02:12:02.000Z",
  "title": "An elementary proof of Fediĭ's theorem and extensions",
  "authors": [
    "David S. Tartakoff"
  ],
  "comment": "5pp",
  "categories": [
    "math.AP"
  ],
  "abstract": "We present an elementary, $L^2,$ proof of Fedi\\u{\\i}'s theorem on arbitrary (e.g., infinite order) degeneracy and extensions. In particular, the proof allows and shows $C^\\infty,$ Gevrey, and real analytic hypoellipticity, and allows the coefficents to depend on the remaining variable as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-28T02:12:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H10",
      "35N15"
    ],
    "keywords": [
      "elementary proof",
      "fediĭs theorem",
      "extensions",
      "real analytic hypoellipticity",
      "infinite order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9778T"
    }
  }
}