dc.creator | Bernal González, Luis | |
dc.creator | Bonilla Ramírez, Antonio Lorenzo | |
dc.creator | Calderón Moreno, María del Carmen | |
dc.creator | Prado Bassas, José Antonio | |
dc.date.accessioned | 2016-01-29T09:52:19Z | |
dc.date.available | 2016-01-29T09:52:19Z | |
dc.date.issued | 2009-06 | |
dc.identifier.citation | Bernal González, L., Bonilla Ramírez, A.L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2009). Universal Taylor series with maximal cluster sets. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.uri | http://hdl.handle.net/11441/33575 | |
dc.description.abstract | We link the overconvergence properties of certain Taylor series in
the unit disk to the maximality of their cluster sets, so connecting
outer wild behavior to inner wild behavior. Specifically, it is proved
the existence of a dense linear manifold of holomorphic functions in
the disk that are, except for zero, universal Taylor series in the sense
of Nestoridis and, simultaneously, have maximal cluster sets along
many curves tending to the boundary. Moreover, it is constructed
a dense linear manifold of universal Taylor series having, for each
boundary point, limit zero along some path which is tangent to the
corresponding radius. Finally, it is proved the existence of a closed
infinite dimensional manifold of holomorphic functions enjoying the
two-fold wild behavior specified at the beginning. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Consejo Superior de Investigaciones Científicas | es |
dc.relation.ispartof | null | |
dc.rights | Atribución-NoComercial-CompartirIgual 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | * |
dc.subject | Maximal cluster set | es |
dc.subject | universal Taylor series | es |
dc.subject | dense linear submanifold | es |
dc.subject | closed linear submanifold | es |
dc.subject | differential operator | es |
dc.subject | curve with non-total oscillation | es |
dc.title | Universal Taylor series with maximal cluster sets | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.identifier.doi | http://dx.doi.org/10.4171/RMI/582 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/33575 | |