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Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

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Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis

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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 2022-03-10T19:04:15Z
dc.date.available 2022-03-10T19:04:15Z
dc.date.issued 2021-05 es_ES
dc.identifier.issn 0010-0757 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181372
dc.description.abstract [EN] We use techniques from time-frequency analysis to show that the space S(omega )of rapidly decreasing omega-ultradifferentiable functions is nuclear for every weight function omega(t) = o(t) as t tends to infinity. Moreover, we prove that, for a sequence (M-p)(p) satisfying the classical condition (M1) of Komatsu, the space of Beurling type S-(M)p when defined with L-2 norms is nuclear exactly when condition (M2)' of Komatsu holds. es_ES
dc.description.sponsorship We thank the reviewer very much for the careful reading of our manuscript and the comments to improve the paper. The first three authors were partially supported by the Project FFABR 2017 (MIUR), and by the Projects FIR 2018 and FAR 2018 (University of Ferrara). The first and third authors are members of the Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The research of the second author was partially supported by the project MTM2016-76647-P and the grant BEST/2019/172 from Generalitat Valenciana. The fourth author is supported by FWF-project J 3948-N35. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Collectanea mathematica es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nuclear spaces es_ES
dc.subject Weighted spaces of ultradifferentiable functions of Beurling type es_ES
dc.subject Gabor frames es_ES
dc.subject Time-frequency analysis es_ES
dc.title Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13348-020-00296-0 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIFE//FFABR 2017/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIFE//FIR2018/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIFE//FAR2018/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//BEST%2F2019%2F172/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FWF//J 3948-N35/ 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.description.bibliographicCitation Boiti, C.; Jornet Casanova, D.; Oliaro, A.; Schindl, G. (2021). Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis. Collectanea mathematica. 72(2):423-442. https://doi.org/10.1007/s13348-020-00296-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13348-020-00296-0 es_ES
dc.description.upvformatpinicio 423 es_ES
dc.description.upvformatpfin 442 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 72 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\452777 es_ES
dc.contributor.funder Austrian Science Fund es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Università degli Studi di Ferrara es_ES
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