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Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions

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Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions

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dc.contributor.author Asensio, Vicente es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.date.accessioned 2021-02-03T04:32:42Z
dc.date.available 2021-02-03T04:32:42Z
dc.date.issued 2019-10 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160577
dc.description.abstract [EN] We develop a theory of pseudodifferential operators of infinite order for the global classes S. of ultradifferentiable functions in the sense of Bjorck, following the previous ideas given by Prangoski for ultradifferentiable classes in the sense of Komatsu. We study the composition and the transpose of such operators with symbolic calculus and provide several examples. es_ES
dc.description.sponsorship The first author was partially supported by the project GV Prometeo 2017/102, and the second author by the project MTM2016-76647-P. This article is part of the PhD. Thesis of V. Asensio. The authors are very grateful to the two referees for the careful reading and their suggestions and comments, which improved the paper. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Global classes es_ES
dc.subject Pseudodifferential operator es_ES
dc.subject Ultradistribution es_ES
dc.subject Non-quasianalytic es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-019-00710-8 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/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ 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.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Asensio, V.; Jornet Casanova, D. (2019). Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 113(4):3477-3512. https://doi.org/10.1007/s13398-019-00710-8 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-019-00710-8 es_ES
dc.description.upvformatpinicio 3477 es_ES
dc.description.upvformatpfin 3512 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 113 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\390961 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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