@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-00704976v1> a dcat:Dataset ;
    dct:description """
              We write, for geometric index values, a probabilistic proof of the product formula for spherical Bessel functions. Our proof has the merit to carry over without any further effort to Bessel-type hypergeometric functions of one matrix argument. Moreover, the representative probability distribution involved in the matrix setting is shown to be closely related to matrix-variate normal distributions and to the symmetrization of upper-left corners of Haar distributed orthogonal matrices. Once we did, we use the latter relation to perform a detailed analysis of this probability distribution. In case it is absolutely continuous with respect to Lebesgue measure on the space of real symmetric matrices, the product formula for Bessel-type hypergeometric functions of two matrix arguments is obtained from Weyl integration formula.
            """ ;
    dct:identifier "hal-00704976" ;
    dct:issued "2026-05-16T00:12:05.254972"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-16T00:12:05.254979"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Probabilistic proof of product formulas for Bessel functions" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00704976v1/resource/ef3cb790-a586-4569-a3ae-7f27ce68452b> ;
    dcat:keyword "42a61-33c70",
        "bessel-type-hypergeometric-functions",
        "conditional-independence",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-grmathematics-mathgroup-theory-mathgr",
        "mathmath-prmathematics-mathprobability-mathpr",
        "normal-distribution",
        "product-formulas" ;
    dcat:landingPage <ISSN:%201350-7265> .

<ISSN:%201350-7265> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00704976v1/resource/ef3cb790-a586-4569-a3ae-7f27ce68452b> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-16T00:12:05.342768"^^xsd:dateTime ;
    dct:modified "2026-05-16T00:12:05.221796"^^xsd:dateTime ;
    dct:title "Probabilistic proof of product formulas for Bessel functions" ;
    dcat:accessURL <https://hal.science/hal-00704976> .

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