{
  "id": "1409.5633",
  "version": "v1",
  "published": "2014-09-19T12:47:45.000Z",
  "updated": "2014-09-19T12:47:45.000Z",
  "title": "The Gaussian Radon Transform in Classical Wiener Space",
  "authors": [
    "Irina Holmes",
    "Ambar N. Sengupta"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We study the Gaussian Radon transform in the classical Wiener space of Brownian motion. We determine explicit formulas for transforms of Brownian functionals specified by stochastic integrals. A Fock space decomposition is also established for Gaussian measure conditioned to closed affine subspaces in Hilbert spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-19T12:47:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian radon transform",
      "classical wiener space",
      "determine explicit formulas",
      "fock space decomposition",
      "brownian motion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5633H"
    }
  }
}