@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00089066v1> a dcat:Dataset ;
    dct:description """
              Let G be a Gaussian vector taking its values in a separable Fréchet space E. We denote by $\\gamma$ its law and by $(H,\\Vert\\!\\cdot\\!\\Vert)$ its reproducing Hilbert space. Moreover, let X be an E-valued random vector of law $\\mu$. In the first section, we prove that if $\\mu$ is absolutely continuous relative to $\\gamma$, then there exist necessarily a Gaussian vector $G'$ of law $\\gamma$ and an H-valued random vector Z such that $G' + Z$ has the law $\\mu$ of X. This fact is a direct consequence of concentration properties of Gaussian vectors and, in some sense, it is an unexpected achievement of a part of the Cameron--Martin theorem. In the second section, using the classical Cameron--Martin theorem and rotation invariance properties of Gaussian probabilities, we show that, in many situations, such a condition is sufficient for $\\mu$ being absolutely continuous relative to $\\gamma$.
            """ ;
    dct:identifier "hal-00089066" ;
    dct:issued "2026-05-08T18:10:58.961488"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-08T18:10:58.961492"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Extension du théorème de Cameron--Martin aux translations aléatoires" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00089066v1/resource/49a5ed0c-a591-4596-b37d-30f3cfbd9e89> ;
    dcat:keyword "60g15--60g30--28d05",
        "absolue-continuite",
        "absolute-continuity",
        "cameron--martin-theorem",
        "gaussian-probability",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-prmathematics-mathprobability-mathpr",
        "probabilite-gaussienne",
        "theoreme-de-cameron--martin" ;
    dcat:landingPage <ISSN:%200091-1798> .

<ISSN:%200091-1798> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00089066v1/resource/49a5ed0c-a591-4596-b37d-30f3cfbd9e89> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-08T18:10:58.963066"^^xsd:dateTime ;
    dct:modified "2026-05-08T18:10:58.941779"^^xsd:dateTime ;
    dct:title "Extension du théorème de Cameron--Martin aux translations aléatoires" ;
    dcat:accessURL <https://hal.science/hal-00089066> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .