{
  "id": "1402.6615",
  "version": "v1",
  "published": "2014-02-26T17:16:58.000Z",
  "updated": "2014-02-26T17:16:58.000Z",
  "title": "A pseudo-differential calculus on the Heisenberg group",
  "authors": [
    "Veronique Fischer",
    "Michael Ruzhansky"
  ],
  "comment": "9 pages",
  "journal": "Comptes Rendus Mathematique, Vol. 352, Issue 3, March 2014, pp 197-204",
  "doi": "10.1016/j.crma.2013.12.006",
  "categories": [
    "math.FA",
    "math.AP",
    "math.RT"
  ],
  "abstract": "In this note we present a symbolic pseudo-differential calculus on the Heisenberg group. We particularise to this group our general construction [4,3,2] of pseudo-differential calculi on graded groups. The relation between the Weyl quantization and the representations of the Heisenberg group enables us to consider here scalar-valued symbols. We find that the conditions defining the symbol classes are similar but different to the ones in [1]. Applications are given to Schwartz hypoellipticity and to subelliptic estimates on the Heisenberg group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-26T17:16:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "43A80"
    ],
    "keywords": [
      "symbolic pseudo-differential calculus",
      "heisenberg group enables",
      "subelliptic estimates",
      "general construction",
      "symbol classes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.6615F"
    }
  }
}