dc.creator | Bernal González, Luis | es |
dc.creator | Bonilla Ramírez, Antonio Lorenzo | es |
dc.date.accessioned | 2019-06-18T10:19:13Z | |
dc.date.available | 2019-06-18T10:19:13Z | |
dc.date.issued | 2002-04 | |
dc.identifier.citation | Bernal González, L. y Bonilla Ramírez, A.L. (2002). Exponential type of hypercyclic entire functions. Archiv der Mathematik, 78 (4), 283-290. | |
dc.identifier.issn | 0003-889X | es |
dc.identifier.issn | 1420-8938 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87483 | |
dc.description.abstract | In this paper the exponential type of hypercyclic entire functions with respect to a
sequence (Φn(D)) of differential operators is considered, where every Φn is an entire
function of exponential type. We prove that under suitable conditions certain rates of
growth are possible for hypercyclicity while others are not. In particular, our statements extend the negative part of a sharp result on growth of D-hypercyclic entire functions due to Grosse-Erdmann, and are related to a result by Chan and Shapiro about the existence of Φ(D)-hypercyclic functions in certain Hilbert spaces of entire functions. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). España | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Archiv der Mathematik, 78 (4), 283-290. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Entire function | es |
dc.subject | Hypercyclic function | es |
dc.subject | Infinite order differential operator | es |
dc.subject | Growth | es |
dc.subject | Exponential type | es |
dc.subject | Dense linear manifold | es |
dc.title | Exponential type of hypercyclic entire functions | 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.projectID | PB96–1348 | es |
dc.relation.projectID | PB98-0444 | es |
dc.relation.publisherversion | https://link.springer.com/content/pdf/10.1007%2Fs00013-002-8248-7.pdf | es |
dc.identifier.doi | 0003-889X/02/040283-08 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 10 p. | es |
dc.journaltitle | Archiv der Mathematik | es |
dc.publication.volumen | 78 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 283 | es |
dc.publication.endPage | 290 | es |