{
  "id": "1301.0642",
  "version": "v2",
  "published": "2013-01-03T22:21:08.000Z",
  "updated": "2013-02-21T13:32:30.000Z",
  "title": "Lower bounds for operators on graded Lie groups",
  "authors": [
    "Veronique Fischer",
    "Michael Ruzhansky"
  ],
  "journal": "C. R. Acad. Sci. Paris, Ser. 1 351 (2013) 13-18",
  "doi": "10.1016/j.crma.2013.01.004",
  "categories": [
    "math.FA",
    "math.AP",
    "math.RT"
  ],
  "abstract": "In this note we present a symbolic pseudo-differential calculus on graded nilpotent Lie groups and, as an application, a version of the sharp Garding inequality. As a corollary, we obtain lower bounds for positive Rockland operators with variable coefficients as well as their Schwartz-hypoellipticity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-21T13:32:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "43A80"
    ],
    "keywords": [
      "graded lie groups",
      "lower bounds",
      "symbolic pseudo-differential calculus",
      "graded nilpotent lie groups",
      "sharp garding inequality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.0642F"
    }
  }
}