The Gabor wave front set 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 Torinoes_ES
dc.contributor.funderUniversità degli Studi di Ferraraes_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2020-12-03T04:31:58Z
dc.date.available2020-12-03T04:31:58Z
dc.date.issued2019-02es_ES
dc.description.abstract[EN] We consider the spaces of ultradifferentiable functions S as introduced by Bjorck (and its dual S) and we use time-frequency analysis to define a suitable wave front set in this setting and obtain several applications: global regularity properties of pseudodifferential operators of infinite order and the micro-pseudolocal behaviour of partial differential operators with polynomial coefficients and of localization operators with symbols of exponential growth. Moreover, we prove that the new wave front set, defined in terms of the Gabor transform, can be described using only Gabor frames. Finally, some examples show the convenience of the use of weight functions to describe more precisely the global regularity of (ultra)distributions.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBoiti, C.; Jornet Casanova, D.; Oliaro, A. (2019). The Gabor wave front set in spaces of ultradifferentiable functions. Monatshefte für Mathematik. 188(2):199-246. https://doi.org/10.1007/s00605-018-1242-3es_ES
dc.description.issue2es_ES
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dc.description.sponsorshipThe authors were partially supported by the INdAM-Gnampa Project 2016 "Nuove prospettive nell'analisi microlocale e tempo-frequenza", by FAR2013, FAR2014 (University of Ferrara) and by the project "Ricerca Locale - Analisi di Gabor, operatori pseudodifferenziali ed equazioni differenziali" (University of Torino). The research of the second author was partially supported by the project MTM2016-76647-P.es_ES
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dc.description.volume188es_ES
dc.identifier.doi10.1007/s00605-018-1242-3es_ES
dc.identifier.issn0026-9255es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/156326
dc.languageIngléses_ES
dc.publisherSpringer-Verlages_ES
dc.relation.ispartofMonatshefte für Mathematikes_ES
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dc.relation.publisherversionhttps://doi.org/10.1007/s00605-018-1242-3es_ES
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dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectGabor wave front setes_ES
dc.subjectWeighted Schwartz classeses_ES
dc.subjectShort-time Fourier transformes_ES
dc.subjectGabor frameses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleThe Gabor wave front set in spaces of ultradifferentiable functionses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
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