{
  "id": "2307.12178",
  "version": "v1",
  "published": "2023-07-22T22:18:18.000Z",
  "updated": "2023-07-22T22:18:18.000Z",
  "title": "On projective limits of probability measures",
  "authors": [
    "Juan Carlos Sampedro"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The present article describes the precise structure of the $L^{p}$-spaces of projective limit measures by introducing a category theoretical perspective. This analysis is applied to measures on vector spaces and in particular to Gaussian measures on nuclear topological vector spaces. A simple application to constructive Quantum Field Theory (QFT) is given through the Osterwalder-Schrader axioms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-22T22:18:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18A30",
      "60A10",
      "46E30",
      "46M10"
    ],
    "keywords": [
      "probability measures",
      "constructive quantum field theory",
      "nuclear topological vector spaces",
      "precise structure",
      "osterwalder-schrader axioms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}