{
  "id": "1007.3020",
  "version": "v1",
  "published": "2010-07-18T17:18:41.000Z",
  "updated": "2010-07-18T17:18:41.000Z",
  "title": "Blaschke-type conditions for analytic functions in the unit disk: inverse problems and local analogs",
  "authors": [
    "S. Favorov",
    "L. Golinskii"
  ],
  "comment": "14 pages in LaTeX",
  "categories": [
    "math.CV"
  ],
  "abstract": "We continue the study of analytic functions in the unit disk of finite order with arbitrary set of singular points on the unit circle, introduced in \\cite{FG}. The main focus here is made upon the inverse problem: the existence of a function from this class with a given singular set and zero set subject to certain Blaschke-type condition. We also discuss the local analog of the main result from \\cite{FG} similar to the standard local Blaschke condition for analytic and bounded functions in the unit disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-18T17:18:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D50",
      "31A05"
    ],
    "keywords": [
      "unit disk",
      "inverse problem",
      "blaschke-type condition",
      "local analog",
      "analytic functions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3020F"
    }
  }
}