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dc.creatorBernal González, Luises
dc.creatorPrado Tendero, José Antonioes
dc.date.accessioned2019-06-19T11:16:31Z
dc.date.available2019-06-19T11:16:31Z
dc.date.issued2005-02
dc.identifier.citationBernal González, L. y Prado Tendero, J.A. (2005). U-operators. Journal of the Australian Mathematical Society, 78 (1), 59-90.
dc.identifier.issn1446-7887es
dc.identifier.issn1446-8107es
dc.identifier.urihttps://hdl.handle.net/11441/87532
dc.description.abstractInspired by a statement of W. Luh asserting the existence of entire functions having together with all their derivatives and antiderivatives some kind of additive universality or multiplicative universality on certain compact subsets of the complex plane or of, respectively, the punctured complex plane, we introduce in this paper the new concept of U-operators, which are defined on the space of entire functions. Concrete examples, including differential and antidifferential operators, composition, multiplication and shift operators, are studied. A result due to Luh, Martirosian and Müller about the existence of universal entire functions with gap power series is also strengthened.es
dc.description.sponsorshipPlan Andaluz de Investigación (Junta de Andalucía)es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherCambridge University Presses
dc.relation.ispartofJournal of the Australian Mathematical Society, 78 (1), 59-90.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectUniversal functiones
dc.subjectGap serieses
dc.subjectComposition operatores
dc.subjectDifferential operatores
dc.subjectIntegral operatores
dc.subjectTaylor shiftes
dc.subjectU-operatores
dc.titleU-operatorses
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Análisis Matemáticoes
dc.relation.publisherversionhttps://www.cambridge.org/core/services/aop-cambridge-core/content/view/163083BBA666C8A562B5408B95F7B973/S1446788700015561a.pdf/uoperators.pdfes
dc.identifier.doi10.1017/S1446788700015561es
dc.contributor.groupUniversidad de Sevilla. FQM127: Análisis Funcional no Lineales
idus.format.extent40 p.es
dc.journaltitleJournal of the Australian Mathematical Societyes
dc.publication.volumen78es
dc.publication.issue1es
dc.publication.initialPage59es
dc.publication.endPage90es

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Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional