{
  "id": "1905.11223",
  "version": "v1",
  "published": "2019-05-23T21:24:18.000Z",
  "updated": "2019-05-23T21:24:18.000Z",
  "title": "Regularization of Cylindrical Processes In Locally Convex Spaces",
  "authors": [
    "C. A. Fonseca-Mora"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1701.06630, arXiv:1902.03981, arXiv:1806.10231, arXiv:1511.08443",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "Let $\\Phi$ be a locally convex space and let $\\Phi'$ denote its strong dual. In this paper we introduce sufficient conditions for the existence of a continuous or a c\\`{a}dl\\`{a}g $\\Phi'$-valued version to a cylindrical process defined on $\\Phi$. Our result generalizes many other known results on the literature and their different connections will be discussed. As an application, we use our results to show the existence of a $\\Phi'$-valued c\\`{a}dl\\`{a}g L\\'{e}vy process version to a given cylindrical L\\'{e}vy process in $\\Phi'$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-23T21:24:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B11",
      "60G20",
      "60G17",
      "60G51"
    ],
    "keywords": [
      "locally convex space",
      "cylindrical process",
      "regularization",
      "result generalizes",
      "process version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}