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dc.contributor.author | Bonet Solves, José Antonio![]() |
es_ES |
dc.contributor.author | Meise, Reinhold![]() |
es_ES |
dc.contributor.editor | Societates Mathematicae Daniae Fenniae Islandiae Norvegiae Sveciae![]() |
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dc.date.accessioned | 2016-04-22T09:58:25Z | |
dc.date.available | 2016-04-22T09:58:25Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 903-1807 | |
dc.identifier.uri | http://hdl.handle.net/10251/62846 | |
dc.description.abstract | [EN] We investigate the surjectivity of the Borel map in the quasianalytic setting for classes of ultradifferentiable functions defined in terms of the growth of the Fourier-Laplace transform. We deal with both the Roumieu E{ω} and the Beurling E(ω) classes for a weight function ω. In particular, we show that a classical result of Carleman for the quasianalytic classes E{Mp} also holds for the classes defined using weights. We also characterize when the space of quasianalytic germs at the origin coincides with the space of real analytic germs at the origin | es_ES |
dc.description.sponsorship | The research of Bonet was partially supported by MEC and FEDER Project MTM2010-15200 and by GV Project Prometeo /2008/101. | |
dc.language | Inglés | es_ES |
dc.relation.ispartof | Mathematica Scandinavica | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Quasianalytic classes | es_ES |
dc.subject | Borel map | es_ES |
dc.subject | Beurling and Roumieu ultradifferentiable functions | es_ES |
dc.subject | Fourier Laplace transform | es_ES |
dc.subject | Real analytic germs | es_ES |
dc.subject | Fréchet spaces | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On the theorem of Borel for quasianalytic classes | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.7146/math.scand.a-15246 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría 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.description.bibliographicCitation | Bonet Solves, JA.; Meise, R. (2013). On the theorem of Borel for quasianalytic classes. Mathematica Scandinavica. 112(2):302-319. https://doi.org/10.7146/math.scand.a-15246 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.7146/math.scand.a-15246 | es_ES |
dc.description.upvformatpinicio | 302 | es_ES |
dc.description.upvformatpfin | 319 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 112 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.senia | 257599 | es_ES |
dc.contributor.funder | Generalitat Valenciana | |
dc.contributor.funder | European Regional Development Fund | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |