@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#> .

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    dct:description """
              We study integrability and continuity properties of random series of Hermite functions. We get optimal results which are analogues to classical results concerning Fourier series, like the Paley-Zygmund or the Salem-Zygmund theorems. We also consider the case of series of radial Hermite functions, which are not so well-behaved. In this context, we prove some L^p bounds of radial Hermite functions, which are optimal when p is large.
            """ ;
    dct:identifier "hal-00961222" ;
    dct:issued "2026-05-05T23:51:42.058357"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-05T23:51:42.058362"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On random Hermite series" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
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    dcat:keyword "2000-mathematics-subject-classification--60g50",
        "harmonic-analysis",
        "harmonic-oscillator",
        "hermite-functions",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mathmath-camathematics-mathclassical-analysis-and-odes-mathca",
        "mathmath-spmathematics-mathspectral-theory-mathsp",
        "random-series" ;
    dcat:landingPage <ISSN:%200002-9947> .

<ISSN:%200002-9947> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00961222v1/resource/13b8cd69-437e-4cb4-bc6d-2315a8eb84a0> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-05T23:51:42.072697"^^xsd:dateTime ;
    dct:modified "2026-05-05T23:51:42.040558"^^xsd:dateTime ;
    dct:title "On random Hermite series" ;
    dcat:accessURL <https://hal.science/hal-00961222> .

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