{
  "id": "1412.1877",
  "version": "v1",
  "published": "2014-12-05T01:54:34.000Z",
  "updated": "2014-12-05T01:54:34.000Z",
  "title": "Product Formula, Independence and Asymptotic Moment-Independence for Complex Multiple Wiener-Ito Integrals",
  "authors": [
    "Yong Chen"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We present the product formula for complex multiple Wiener-Ito integrals. As applications, we show the Ustunel-Zakai independent criterion, the Nourdin-Rosinski asymptotic moment-independent criterion and joint convergence criterion for complex multiple Wiener-Ito integrals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-05T01:54:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H05",
      "60H07",
      "60G15"
    ],
    "keywords": [
      "complex multiple wiener-ito integrals",
      "product formula",
      "asymptotic moment-independence",
      "nourdin-rosinski asymptotic moment-independent criterion",
      "joint convergence criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.1877C"
    }
  }
}