{
  "id": "1311.3122",
  "version": "v1",
  "published": "2013-11-13T13:22:42.000Z",
  "updated": "2013-11-13T13:22:42.000Z",
  "title": "Spectral structure of transfer operators for expanding circle maps",
  "authors": [
    "Oscar F. Bandtlow",
    "Wolfram Just",
    "Julia Slipantschuk"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS",
    "math.SP"
  ],
  "abstract": "We explicitly determine the spectrum of transfer operators (acting on spaces of holomorphic functions) associated to analytic expanding circle maps arising from finite Blaschke products. This is achieved by deriving a convenient natural representation of the respective adjoint operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-13T13:22:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C30",
      "30J10",
      "47A25",
      "37A25"
    ],
    "keywords": [
      "transfer operators",
      "spectral structure",
      "convenient natural representation",
      "finite blaschke products",
      "holomorphic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3122B"
    }
  }
}