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The Gabor wave front set in spaces of ultradifferentiable functions

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The Gabor wave front set in spaces of ultradifferentiable functions

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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.date.accessioned 2020-12-03T04:31:58Z
dc.date.available 2020-12-03T04:31:58Z
dc.date.issued 2019-02 es_ES
dc.identifier.issn 0026-9255 es_ES
dc.identifier.uri http://hdl.handle.net/10251/156326
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. es_ES
dc.description.sponsorship The 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
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Monatshefte für Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Gabor wave front set es_ES
dc.subject Weighted Schwartz classes es_ES
dc.subject Short-time Fourier transform es_ES
dc.subject Gabor frames es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The Gabor wave front set in spaces of ultradifferentiable functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00605-018-1242-3 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIFE//FAR2013/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UNIFE//FAR2014/ 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. (2019). The Gabor wave front set in spaces of ultradifferentiable functions. Monatshefte für Mathematik. 188(2):199-246. https://doi.org/10.1007/s00605-018-1242-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00605-018-1242-3 es_ES
dc.description.upvformatpinicio 199 es_ES
dc.description.upvformatpfin 246 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 188 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\406923 es_ES
dc.contributor.funder Università degli Studi di Torino es_ES
dc.contributor.funder Università degli Studi di Ferrara es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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