Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

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dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationEscuela Técnica Superior de Arquitectura
dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.authorBoiti, Chiaraes_ES
dc.contributor.authorJornet Casanova, David
dc.contributor.authorOliaro, Alessandroes_ES
dc.contributor.authorSchindl, Gerhardes_ES
dc.contributor.funderAGENCIA ESTATAL DE INVESTIGACIONes_ES
dc.date.accessioned2022-01-10T19:31:35Z
dc.date.available2022-01-10T19:31:35Z
dc.date.issued2020-10-19es_ES
dc.description.abstract[EN] We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending the previous work by Langenbruch. As a consequence, we give very general conditions for these spaces to be nuclear. In particular, we obtain the corresponding results for spaces defined by weight functionsen_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBoiti, C.; Jornet Casanova, D.; Oliaro, A.; Schindl, G. (2020). Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. Banach Journal of Mathematical Analysis. 15(1):1-39. https://doi.org/10.1007/s43037-020-00090-xes_ES
dc.description.issue1es_ES
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dc.description.sponsorshipOpen access funding provided by Universita degli Studi di Ferrara within the CRUI-CARE Agreementes_ES
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dc.description.volume15es_ES
dc.identifier.doi10.1007/s43037-020-00090-xes_ES
dc.identifier.issn1735-8787es_ES
dc.identifier.pmcidPMC7594626es_ES
dc.identifier.pmid33184613es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/179424
dc.languageIngléses_ES
dc.publisherDuke University Presses_ES
dc.relation.ispartofBanach Journal of Mathematical Analysises_ES
dc.relation.pasarelaS\452776es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/es_ES
dc.relation.publisherversionhttps://doi.org/10.1007/s43037-020-00090-xes_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectWeight matriceses_ES
dc.subjectUltradifferentiable functionses_ES
dc.subjectSequence spaceses_ES
dc.subjectNuclear spaceses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleNuclear global spaces of ultradifferentiable functions in the matrix weighted settinges_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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