Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials

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dc.contributor.authorBranquinho, Amílcar
dc.contributor.authorFoulquié-Moreno, Ana
dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2024-01-30T11:23:53Z
dc.date.available2024-01-30T11:23:53Z
dc.date.issued2023
dc.description.abstractSpectral and factorization properties of oscillatory matrices lead to a spectral Favard theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in terms of sequences of mixed multiple orthogonal polynomials with respect to a set positive Lebesgue-Stieltjes measures. A mixed multiple Gauss quadrature formula with corresponding degrees of precision is given.en
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (Portugal)
dc.description.sponsorshipEuropean Commission
dc.description.sponsorshipAgencia Estatal de Investigación
dc.description.statuspub
dc.identifier.citationAmílcar Branquinho, Ana Foulquié-Moreno, Manuel Mañas, Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials, Advances in Mathematics, Volume 434, 2023, 109313, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2023.109313.
dc.identifier.doi10.1016/j.aim.2023.109313
dc.identifier.issn0001-8708
dc.identifier.officialurlhttps://doi.org/10.1016/j.aim.2023.109313
dc.identifier.urihttps://hdl.handle.net/20.500.14352/96436
dc.journal.titleAdvances in Mathematics
dc.language.isoeng
dc.page.final109313-48
dc.page.initial109313-1
dc.publisherElsevier
dc.relation.projectIDinfo:eu-repo/grantAgreement/PT2020
dc.relation.projectIDinfo:eu-repo/grantAgreement/UIDB/04106/2020
dc.relation.projectIDinfo:eu-repo/grantAgreement/PGC2018-096504-B-C33
dc.relation.projectIDinfo:eu-repo/grantAgreement/PID2021-122154NB-I00
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.cdu517
dc.subject.keywordBounded banded matrices
dc.subject.keywordOscillatory matrices
dc.subject.keywordTotally nonnegative matrices
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleSpectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number434
dspace.entity.typePublication
relation.isAuthorOfPublication0d5b5872-7553-4b33-b0e5-085ced5d8f42
relation.isAuthorOfPublication.latestForDiscovery0d5b5872-7553-4b33-b0e5-085ced5d8f42

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