{
  "id": "1711.03083",
  "version": "v1",
  "published": "2017-11-08T18:28:59.000Z",
  "updated": "2017-11-08T18:28:59.000Z",
  "title": "Local and global symbols on compact Lie groups",
  "authors": [
    "Veronique Fischer"
  ],
  "comment": "35 pages",
  "categories": [
    "math.FA",
    "math.AP",
    "math.RT"
  ],
  "abstract": "On the torus, and more generally on a compact Lie, it is possible to assign a global symbol to a pseudodifferential operator using Fourier series. In this paper we investigate the relations that exist in this context between the local and global symbols for the operators in the classical Hormander calculus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-08T18:28:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A75",
      "22E30",
      "58J40",
      "35S05"
    ],
    "keywords": [
      "compact lie groups",
      "global symbol",
      "pseudodifferential operator",
      "fourier series",
      "classical hormander calculus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}