Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms

[EN] We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\Sch$ and in the space $\Sch_\omega$ as introduced by Bj\"orck for weight functions $\ome...

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Detalles Bibliográficos
Autores: Boiti, Chiara, Oliaro, Alessandro, Jornet Casanova, David|||0000-0002-3531-6203
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/107356
Acceso en línea:https://riunet.upv.es/handle/10251/107356
Access Level:acceso abierto
Palabra clave:Linear partial differential operators with polynomial coefficients
Schwartz spaces
Wigner transform
MATEMATICA APLICADA
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spelling Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transformsBoiti, ChiaraOliaro, AlessandroJornet Casanova, David|||0000-0002-3531-6203Linear partial differential operators with polynomial coefficientsSchwartz spacesWigner transformMATEMATICA APLICADA[EN] We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\Sch$ and in the space $\Sch_\omega$ as introduced by Bj\"orck for weight functions $\omega$. Several examples are discussed in this new setting.The authors have been partially supported by the INdAM-GNAMPA Project 2015 "Equazioni Differenziali a Derivate Parziali di Evoluzione e Stocastiche" and by FAR 2011 (University of Ferrara). The second author was partially supported by MINECO, Project MTM2013-43540-P.ElsevierDepartamento de Matemática AplicadaEscuela Técnica Superior de ArquitecturaInstituto Universitario de Matemática Pura y AplicadaMinisterio de Economía, Industria y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/107356reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43540-P METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORESopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1073562026-06-13T07:49:27Z
dc.title.none.fl_str_mv Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
title Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
spellingShingle Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
Boiti, Chiara
Linear partial differential operators with polynomial coefficients
Schwartz spaces
Wigner transform
MATEMATICA APLICADA
title_short Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
title_full Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
title_fullStr Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
title_full_unstemmed Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
title_sort Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
dc.creator.none.fl_str_mv Boiti, Chiara
Oliaro, Alessandro
Jornet Casanova, David|||0000-0002-3531-6203
author Boiti, Chiara
author_facet Boiti, Chiara
Oliaro, Alessandro
Jornet Casanova, David|||0000-0002-3531-6203
author_role author
author2 Oliaro, Alessandro
Jornet Casanova, David|||0000-0002-3531-6203
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Arquitectura
Instituto Universitario de Matemática Pura y Aplicada
Ministerio de Economía, Industria y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Linear partial differential operators with polynomial coefficients
Schwartz spaces
Wigner transform
MATEMATICA APLICADA
topic Linear partial differential operators with polynomial coefficients
Schwartz spaces
Wigner transform
MATEMATICA APLICADA
description [EN] We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $\Sch$ and in the space $\Sch_\omega$ as introduced by Bj\"orck for weight functions $\omega$. Several examples are discussed in this new setting.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/107356
url https://riunet.upv.es/handle/10251/107356
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 MTM2013-43540-P METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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