{
  "id": "1707.01668",
  "version": "v1",
  "published": "2017-07-06T07:57:07.000Z",
  "updated": "2017-07-06T07:57:07.000Z",
  "title": "Tame majorant analyticity for the Birkhoff map of the defocusing Nonlinear Schrödinger equation on the circle",
  "authors": [
    "Alberto Maspero"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For the defocusing Nonlinear Schr\\\"odinger equation on the circle, we construct a Birkhoff map $\\Phi$ which is tame majorant analytic in a neighborhood of the origin. Roughly speaking, majorant analytic means that replacing the coefficients of the Taylor expansion of $\\Phi$ by their absolute values gives rise to a series (the majorant map) which is uniformly and absolutely convergent, at least in a small neighborhood. Tame majorant analytic means that the majorant map of $\\Phi$ fulfills tame estimates. The proof is based on a new tame version of the Kuksin-Perelman theorem, which is an infinite dimensional Vey type theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-06T07:57:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "defocusing nonlinear schrödinger equation",
      "tame majorant analyticity",
      "birkhoff map",
      "majorant analytic means",
      "infinite dimensional vey type theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}