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Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions

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Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions

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dc.contributor.author Asensio López, Vicente es_ES
dc.date.accessioned 2023-06-26T18:01:22Z
dc.date.available 2023-06-26T18:01:22Z
dc.date.issued 2022-06 es_ES
dc.identifier.issn 1660-5446 es_ES
dc.identifier.uri http://hdl.handle.net/10251/194557
dc.description.abstract [EN] We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type. The composition of different quantizations as well as the transpose of a quantization are also analysed, with applications to the Weyl calculus. We also compare global w-hypoellipticity and global co-regularity of these classes of pseudodifferential operators. es_ES
dc.description.sponsorship The author was supported by the projects GV PROMETEO/2017/102 and PROMETEO/2021/070. He is greatly indebted to David Jornet for his helpful comments and ideas, and for the careful reading of the paper. The author would also like to thank Chiara Boiti for the revision of the paper. This is part of the author's Ph.D. Thesis. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics 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 Quantizations es_ES
dc.subject Hypoellipticity es_ES
dc.title Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-022-02034-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2021%2F070//Análisis funcional, dinámica de operadores y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//PROMETEO%2F2017%2F102//ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES./ es_ES
dc.rights.accessRights Abierto 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 López, V. (2022). Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions. Mediterranean Journal of Mathematics. 19(3):1-36. https://doi.org/10.1007/s00009-022-02034-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00009-022-02034-1 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 36 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 19 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\484231 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
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