{
  "id": "0902.0513",
  "version": "v2",
  "published": "2009-02-03T14:13:26.000Z",
  "updated": "2009-03-12T09:58:05.000Z",
  "title": "Commutator Criteria for Magnetic Pseudodifferential Operators",
  "authors": [
    "Viorel Iftimie",
    "Marius Mantoiu",
    "Radu Purice"
  ],
  "comment": "Acknowledgements added",
  "journal": "Comm. Partial Differential Equations 35 (2010), no. 6, 1058-1094",
  "doi": "10.1080/03605301003717118",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudo-differential operators of suitable symbol classes. The approach is completely intrinsic; neither the statements nor the proofs depend on a choice of a vector potential. We apply this criteria to inversion problems, functional calculus, affiliation results and to the study of the evolution group generated by a magnetic pseudo-differential operator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-12T09:58:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "47A60",
      "81Q10"
    ],
    "keywords": [
      "magnetic pseudodifferential operators",
      "commutator criteria",
      "magnetic pseudo-differential operator",
      "gauge covariant magnetic weyl calculus",
      "proofs depend"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.0513I"
    }
  }
}