{
  "id": "0911.4341",
  "version": "v1",
  "published": "2009-11-23T09:02:26.000Z",
  "updated": "2009-11-23T09:02:26.000Z",
  "title": "Brjuno conditions for linearization in presence of resonances",
  "authors": [
    "Jasmin Raissy"
  ],
  "comment": "14 pages, no figures",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We present a new proof, under a slightly different (and more natural) arithmetic hypothesis, and using direct computations via power series expansions, of a holomorphic linearization result in presence of resonances originally proved by R\\\"ussmann.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-23T09:02:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F50",
      "32H50"
    ],
    "keywords": [
      "brjuno conditions",
      "resonances",
      "holomorphic linearization result",
      "power series expansions",
      "arithmetic hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4341R"
    }
  }
}