{
  "id": "1503.07098",
  "version": "v1",
  "published": "2015-03-24T16:20:41.000Z",
  "updated": "2015-03-24T16:20:41.000Z",
  "title": "Orthogonal polynomials on generalized Julia sets",
  "authors": [
    "Gökalp Alpan",
    "Alexander Goncharov"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green's functions and Widom criterion for a special family of real generalized Julia sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-24T16:20:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "37F10",
      "31A15",
      "30D05"
    ],
    "keywords": [
      "orthogonal polynomials",
      "real generalized julia sets",
      "extend results",
      "equilibrium measure",
      "widom criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150307098A"
    }
  }
}