{
  "id": "1302.5735",
  "version": "v1",
  "published": "2013-02-22T22:50:13.000Z",
  "updated": "2013-02-22T22:50:13.000Z",
  "title": "Periodic and rapid decay rank two self-adjoint commuting differential operators",
  "authors": [
    "Andrey E. Mironov"
  ],
  "comment": "19 pages, 12 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Self-adjoint rank two commuting ordinary differential operators are studied in this paper. Such operators with trigonometric, elliptic and rapid decay coefficients corresponding to hyperelliptic spectral curves are constructed. Some problems related to the Lame operator and rank two solutions of soliton equations are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-22T22:50:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-adjoint commuting differential operators",
      "rapid decay rank",
      "hyperelliptic spectral curves",
      "commuting ordinary differential operators",
      "rapid decay coefficients corresponding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.5735M"
    }
  }
}