The differentiation operator in the space of unifornly convergent Dirichlet series

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dc.contributor.affiliationDepartamento de Matemática Aplicada
dc.contributor.affiliationEscuela Técnica Superior de Arquitectura
dc.contributor.affiliationInstituto Universitario de Matemática Pura y Aplicada
dc.contributor.authorBonet Solves, José Antonio
dc.contributor.funderGeneralitat Valencianaes_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2021-09-14T03:33:25Z
dc.date.available2021-09-14T03:33:25Z
dc.date.issued2020-08es_ES
dc.descriptionThis is the peer reviewed version of the following article: Bonet, J. The differentiation operator in the space of uniformly convergent Dirichlet series. Mathematische Nachrichten. 2020; 293: 1452-1458, which has been published in final form at https://doi.org/10.1002/mana.201900211. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.es_ES
dc.description.abstract[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes {s is an element of C vertical bar Re s > epsilon} for each epsilon > 0. The properties of the formal inverse of the differentiation are also investigated.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBonet Solves, JA. (2020). The differentiation operator in the space of unifornly convergent Dirichlet series. Mathematische Nachrichten. 293(8):1452-1458. https://doi.org/10.1002/mana.201900211es_ES
dc.description.issue8es_ES
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dc.description.referencesBonet, J. (2018). The Fréchet Schwartz Algebra of Uniformly Convergent Dirichlet Series. Proceedings of the Edinburgh Mathematical Society, 61(4), 933-942. doi:10.1017/s0013091517000438es_ES
dc.description.referencesBourdon, P. S., Feldman, N. S., & Shapiro, J. H. (2004). Some properties of N-supercyclic operators. Studia Mathematica, 165(2), 135-157. doi:10.4064/sm165-2-4es_ES
dc.description.referencesBrevig, O. F., Perfekt, K.-M., & Seip, K. (2019). Volterra operators on Hardy spaces of Dirichlet series. Journal für die reine und angewandte Mathematik (Crelles Journal), 2019(754), 179-223. doi:10.1515/crelle-2016-0069es_ES
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dc.description.referencesKrengel, U. (1985). Ergodic Theorems. doi:10.1515/9783110844641es_ES
dc.description.referencesQueffélec, H. (2015). Espaces de séries de Dirichlet et leurs opérateurs de composition. Annales mathématiques Blaise Pascal, 22(S2), 267-344. doi:10.5802/ambp.351es_ES
dc.description.referencesQueffélec, H., & Queffélec, M. (2013). Diophantine Approximation and Dirichlet Series. doi:10.1007/978-93-86279-61-3es_ES
dc.description.sponsorshipGeneralitatValenciana, Grant/Award Number: Prometeo/2017/102; Secretaria de Estado de Investigacion, Desarrollo e Innovacion, Grant/Award Number: MTM2016-76647-Pes_ES
dc.description.upvformatpfin1458es_ES
dc.description.upvformatpinicio1452es_ES
dc.description.volume293es_ES
dc.identifier.doi10.1002/mana.201900211es_ES
dc.identifier.issn0025-584Xes_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/172309
dc.languageIngléses_ES
dc.publisherJohn Wiley & Sonses_ES
dc.relation.ispartofMathematische Nachrichtenes_ES
dc.relation.pasarelaS\427766es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/es_ES
dc.relation.publisherversionhttps://doi.org/10.1002/mana.201900211es_ES
dc.relation.references10.1007/978-1-4757-5579-4es_ES
dc.relation.references10.1515/crll.1913.143.203es_ES
dc.relation.references10.1017/S0013091517000438es_ES
dc.relation.references10.4064/sm165-2-4es_ES
dc.relation.references10.1515/crelle-2016-0069es_ES
dc.relation.references10.7169/facm/1308749122es_ES
dc.relation.references10.1017/9781108691611es_ES
dc.relation.references10.1007/978-1-4471-2170-1es_ES
dc.relation.references10.1007/978-3-322-90559-8es_ES
dc.relation.references10.1515/9783110844641es_ES
dc.relation.references10.5802/ambp.351es_ES
dc.relation.references10.1007/978-93-86279-61-3es_ES
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectAbscissas of convergencees_ES
dc.subjectDifferentiation operatores_ES
dc.subjectFréchet spacees_ES
dc.subjectIntegration operatores_ES
dc.subjectSpaces of Dirichlet serieses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleThe differentiation operator in the space of unifornly convergent Dirichlet serieses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
person.identifier4043
person.identifier.orcid0000-0002-9096-6380
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