dc.creator | Bernal González, Luis | es |
dc.creator | Prado Tendero, José Antonio | es |
dc.date.accessioned | 2019-06-19T11:16:31Z | |
dc.date.available | 2019-06-19T11:16:31Z | |
dc.date.issued | 2005-02 | |
dc.identifier.citation | Bernal González, L. y Prado Tendero, J.A. (2005). U-operators. Journal of the Australian Mathematical Society, 78 (1), 59-90. | |
dc.identifier.issn | 1446-7887 | es |
dc.identifier.issn | 1446-8107 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87532 | |
dc.description.abstract | Inspired 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.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge University Press | es |
dc.relation.ispartof | Journal of the Australian Mathematical Society, 78 (1), 59-90. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Universal function | es |
dc.subject | Gap series | es |
dc.subject | Composition operator | es |
dc.subject | Differential operator | es |
dc.subject | Integral operator | es |
dc.subject | Taylor shift | es |
dc.subject | U-operator | es |
dc.title | U-operators | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.publisherversion | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/163083BBA666C8A562B5408B95F7B973/S1446788700015561a.pdf/uoperators.pdf | es |
dc.identifier.doi | 10.1017/S1446788700015561 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 40 p. | es |
dc.journaltitle | Journal of the Australian Mathematical Society | es |
dc.publication.volumen | 78 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 59 | es |
dc.publication.endPage | 90 | es |