{
  "id": "1808.10376",
  "version": "v1",
  "published": "2018-08-30T16:05:07.000Z",
  "updated": "2018-08-30T16:05:07.000Z",
  "title": "A Product Expansion for Toeplitz Operators on the Fock Space",
  "authors": [
    "Raffael Hagger"
  ],
  "comment": "11 pages",
  "categories": [
    "math.FA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the asymptotic expansion of the product of two Toeplitz operators on the Fock space. In comparison to earlier results we require significantly less derivatives and get the expansion to arbitrary order. This, in particular, improves a result of Borthwick related to Toeplitz quantization. In addition, we derive an intertwining identity between the Berezin star product and the sharp product.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-30T16:05:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B35",
      "46L65",
      "30H20"
    ],
    "keywords": [
      "toeplitz operators",
      "fock space",
      "product expansion",
      "berezin star product",
      "sharp product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}