{
  "id": "2106.00427",
  "version": "v1",
  "published": "2021-06-01T12:20:46.000Z",
  "updated": "2021-06-01T12:20:46.000Z",
  "title": "Weighted composition operators on the Fock space: iteration and semigroups",
  "authors": [
    "I. Chalendar",
    "J. R. Partington"
  ],
  "comment": "20 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of powers of a single operator, the asymptotic behaviour of the semigroups is analysed. For continuous semigroups and groups, a full classification of possible semigroups is given, and the generator is calculated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-01T12:20:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B33",
      "30H10",
      "30H20",
      "30D05"
    ],
    "keywords": [
      "weighted composition operators",
      "fock space",
      "continuous semigroups",
      "full classification",
      "single operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}