{
  "id": "2007.12491",
  "version": "v1",
  "published": "2020-07-24T12:33:35.000Z",
  "updated": "2020-07-24T12:33:35.000Z",
  "title": "A note on the carré du champ on the Poisson space",
  "authors": [
    "Ronan Herry"
  ],
  "comment": "6 pages, comments are welcome. Originally part of arXiv:1910.10181 that has been split in two parts",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The goal of this short note is to establish, in complete generality, the representation for the carr\\'e du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poisson space in terms of the add-one and drop-one operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-24T12:33:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G55",
      "60H07",
      "60J46"
    ],
    "keywords": [
      "poisson space",
      "ornstein-uhlenbeck semi-group",
      "short note",
      "champ operator",
      "complete generality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}