Real Paley-Wiener theorems in spaces of ultradifferentiable functions

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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.funderUniversità degli Studi di Ferraraes_ES
dc.contributor.funderIstituto Nazionale di Alta Matematica "F. Severi", Italiaes_ES
dc.contributor.funderMinistero dell'Istruzione dell'Università e della Ricerca, Italiaes_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2021-07-23T03:31:22Z
dc.date.available2021-07-23T03:31:22Z
dc.date.issued2020-03-01es_ES
dc.description.abstract[EN] We develop real Paley-Wiener theorems for classes S-omega of ultradifferentiable functions and related L-p-spaces in the spirit of Bang and Andersen for the Schwartz class. We introduce results of this type for the so-called Gabor transform and give a full characterization in terms of Fourier and Wigner transforms for several variables of a Paley-Wiener theorem in this general setting, which is new in the literature. We also analyze this type of results when the support of the function is not compact using polynomials. Some examples are given.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBoiti, C.; Jornet Casanova, D.; Oliaro, A. (2020). Real Paley-Wiener theorems in spaces of ultradifferentiable functions. Journal of Functional Analysis. 278(4):1-45. https://doi.org/10.1016/j.jfa.2019.108348es_ES
dc.description.issue4es_ES
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dc.description.sponsorshipThe authors are grateful for the careful reading and the suggestions of the referee, that improved the paper. The authors were partially supported by the INdAM/GNAMPA Project 2017 Equazioni a Derivate Parziali, Analisi di Gabor ed Analisi Microlocale, by the Projects FAR 2014 and FAR 2017 (University of Ferrara), by the Project FFABR 2017 (MIUR). The research of the second author was partially supported by the project MTM2016-76647-P.es_ES
dc.description.upvformatpfin45es_ES
dc.description.upvformatpinicio1es_ES
dc.description.volume278es_ES
dc.identifier.doi10.1016/j.jfa.2019.108348es_ES
dc.identifier.issn0022-1236es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/169904
dc.languageIngléses_ES
dc.publisherElsevieres_ES
dc.relation.ispartofJournal of Functional Analysises_ES
dc.relation.pasarelaS\428960es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/UNIFE//FAR2017/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MIUR//FFABR 2017/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/UNIFE//FAR2014/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/es_ES
dc.relation.publisherversionhttps://doi.org/10.1016/j.jfa.2019.108348es_ES
dc.relation.references10.1112/S0024609304003108es_ES
dc.relation.references10.1016/j.exmath.2013.10.003es_ES
dc.relation.references10.1090/S0002-9947-10-05044-0es_ES
dc.relation.references10.1090/S0002-9939-1990-1024259-9es_ES
dc.relation.references10.1007/BF02590963es_ES
dc.relation.references10.1007/s00229-017-0939-2es_ES
dc.relation.references10.1007/s13398-016-0329-8es_ES
dc.relation.references10.1007/s11868-016-0163-yes_ES
dc.relation.references10.1155/2014/438716es_ES
dc.relation.references10.1016/j.jmaa.2016.09.029es_ES
dc.relation.references10.1007/s00605-018-1242-3es_ES
dc.relation.references10.36045/bbms/1190994204es_ES
dc.relation.references10.1007/BF03322459es_ES
dc.relation.references10.4064/sm167-2-1es_ES
dc.relation.references10.1155/2004/498627es_ES
dc.relation.references10.4064/sm208-1-3es_ES
dc.relation.references10.1007/s00229-005-0605-yes_ES
dc.relation.references10.1007/BF02386123es_ES
dc.relation.references10.1080/01630569908816899es_ES
dc.relation.references10.1007/s10455-005-1148-xes_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectReal Paley-Wiener theoremses_ES
dc.subjectWeighted Schwartz classeses_ES
dc.subjectShort-time Fourier transformes_ES
dc.subjectWigner transformes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleReal Paley-Wiener theorems in spaces of ultradifferentiable functionses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
person.identifier192468
person.identifier.orcid0000-0002-3531-6203
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