{
  "id": "1307.1464",
  "version": "v2",
  "published": "2013-07-04T19:52:58.000Z",
  "updated": "2014-02-24T09:59:46.000Z",
  "title": "Global functional calculus for operators on compact Lie groups",
  "authors": [
    "Michael Ruzhansky",
    "Jens Wirth"
  ],
  "comment": "23 pages; minor corrections",
  "journal": "Journal of Functional Analysis, 267 (2014) 144--172",
  "doi": "10.1016/j.jfa.2014.04.009",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator. Consequently, we provide a symbolic descriptions of complex powers of such operators. As an application, we give a constructive symbolic proof of the G\\r{a}rding inequality for operators in $(\\rho,\\delta)$-classes in the setting of compact Lie groups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-24T09:59:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "22E30"
    ],
    "keywords": [
      "compact lie groups",
      "global functional calculus",
      "elliptic operators",
      "classical pseudo-differential operator",
      "symbolic descriptions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1464R"
    }
  }
}