{
  "id": "1007.0588",
  "version": "v2",
  "published": "2010-07-04T21:31:45.000Z",
  "updated": "2011-02-17T00:46:25.000Z",
  "title": "Sharp Garding inequality on compact Lie groups",
  "authors": [
    "Michael Ruzhansky",
    "Ville Turunen"
  ],
  "comment": "18 pages",
  "journal": "J. Funct. Anal., 260 (2011), 2881-2901",
  "doi": "10.1016/j.jfa.2011.02.014",
  "categories": [
    "math.FA",
    "math.AP",
    "math.RT"
  ],
  "abstract": "In this paper the sharp Garding inequality is established on compact Lie groups. The positivity condition is expressed in the non-commutative phase space in terms of the full symbol, which is defined using the representations of the group. Applications are given to the $L^2$ and Sobolev boundedness of pseudo-differential operators.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-17T00:46:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "22E30"
    ],
    "keywords": [
      "compact lie groups",
      "sharp garding inequality",
      "sobolev boundedness",
      "positivity condition",
      "non-commutative phase space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.0588R"
    }
  }
}