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Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

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Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting

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dc.contributor.author Boiti, Chiara es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.contributor.author Oliaro, Alessandro es_ES
dc.contributor.author Schindl, Gerhard es_ES
dc.date.accessioned 2022-01-10T19:31:35Z
dc.date.available 2022-01-10T19:31:35Z
dc.date.issued 2020-10-19 es_ES
dc.identifier.issn 1735-8787 es_ES
dc.identifier.uri http://hdl.handle.net/10251/179424
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 functions es_ES
dc.description.sponsorship Open access funding provided by Universita degli Studi di Ferrara within the CRUI-CARE Agreement es_ES
dc.language Inglés es_ES
dc.publisher Duke University Press es_ES
dc.relation.ispartof Banach Journal of Mathematical Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weight matrices es_ES
dc.subject Ultradifferentiable functions es_ES
dc.subject Sequence spaces es_ES
dc.subject Nuclear spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s43037-020-00090-x es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AGENCIA ESTATAL DE INVESTIGACION//MTM2016-76647-P//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Boiti, 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-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s43037-020-00090-x es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 39 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 1 es_ES
dc.identifier.pmid 33184613 es_ES
dc.identifier.pmcid PMC7594626 es_ES
dc.relation.pasarela S\452776 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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