@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-00826217v1> a dcat:Dataset ;
    dct:description """
              This paper is essentially devoted to the study of the minimal eigenvalue $\\lambda_{N,\\alpha}$ of the Toepllitz matrice $T_N(\\varphi_{\\alpha})$ where $\\varphi_{\\alpha}(e^{i \\theta})=\\vert 1- e^{i \\theta} \\vert ^{2\\alpha} c_{1}(e^{i \\theta})$ with $c_{1}$ a positive sufficiently smooth function and $0<\\alpha<\\frac{1}{2}$. We obtain $\\lambda_{N,\\alpha}\\sim c_{\\alpha}N^{-2\\alpha}c_{1}(1)$ when $N$ goes to the infinity and we have the bounds of $c_{\\alpha}$. To obtain the asymptotic of $\\lambda_{N,\\alpha}$ we give a theorem which suggests that the entries of $T_N^{-1}(\\varphi_{\\alpha})$ and $T_N (\\varphi^{-1}_\\alpha)$ are closely related. If $\\alpha_1 + \\alpha_2 > \\frac{1}{2}$ we obtain the asymptotic of the minimal eigenvalue of $T_N (\\varphi _{\\alpha_1}) T_N (\\varphi _{\\alpha_2}).$
            """ ;
    dct:identifier "hal-00826217" ;
    dct:issued "2026-05-11T00:25:48.151219"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-11T00:25:48.151224"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Valeur propre minimale d'une matrice de Toeplitz et d'un produit de matrices de Toeplitz." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00826217v1/resource/965b4302-40fb-4d7c-ada2-dc4a441eefc1> ;
    dcat:keyword "47b35-47b34",
        "infoeu-reposemanticspreprint",
        "mathmath-spmathematics-mathspectral-theory-mathsp",
        "matrices-de-toeplitz",
        "operateurs-a-noyau",
        "preprints-working-papers-",
        "produit-de-matrices-de-toeplitz",
        "valeur-propre-minimale" ;
    dcat:landingPage <https://hal.science/hal-00826217> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00826217v1/resource/965b4302-40fb-4d7c-ada2-dc4a441eefc1> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T00:25:48.162227"^^xsd:dateTime ;
    dct:modified "2026-05-11T00:25:48.136645"^^xsd:dateTime ;
    dct:title "Valeur propre minimale d'une matrice de Toeplitz et d'un produit de matrices de Toeplitz." ;
    dcat:accessURL <https://hal.science/hal-00826217> .

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

<https://hal.science/hal-00826217> a foaf:Document .