{
  "id": "1301.1366",
  "version": "v1",
  "published": "2013-01-07T22:38:18.000Z",
  "updated": "2013-01-07T22:38:18.000Z",
  "title": "On the continuation of locally operator monotone functions",
  "authors": [
    "J. E. Pascoe"
  ],
  "categories": [
    "math.FA",
    "math.CV"
  ],
  "abstract": "We generalize the phenomenon of continuation from complex anal- ysis to locally operator monotone functions. Along the lines of the egde-of- the-wedge theorem, we prove continuations exist dependent only on geometric features of the domain and, namely, independent of the function values. We prove a generalization of the Julia inequality for a class of functions containing locally operator monotone functions, Pick functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-07T22:38:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A63",
      "32A40"
    ],
    "keywords": [
      "continuation",
      "functions containing locally operator monotone",
      "containing locally operator monotone functions",
      "the-wedge theorem",
      "julia inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}