Mostrar el registro sencillo del ítem
Artículo
A lot of “counterexamples” to Liouville's theorem
dc.creator | Bernal González, Luis | es |
dc.date.accessioned | 2019-06-19T07:12:59Z | |
dc.date.available | 2019-06-19T07:12:59Z | |
dc.date.issued | 1996-08-01 | |
dc.identifier.citation | Bernal González, L. (1996). A lot of “counterexamples” to Liouville's theorem. Journal of Mathematical Analysis and Applications, 201 (3), 1002-1009. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/87504 | |
dc.description.abstract | We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions and, in addition, limz→∞ exp(|z|α) f(j)(z) = 0 on any plane strip for every f ∈ M and for every derivation index j. Moreover, it is shown the existence of an entire function with infinite growth index satisfying the latter property. | es |
dc.description.sponsorship | Dirección General de Investigación Científica y Técnica (DGICYT). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 201 (3), 1002-1009. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Liouville’s theorem | es |
dc.subject | Entire functions | es |
dc.subject | Dense linear manifold | es |
dc.subject | Radon transform | es |
dc.subject | Arakelian set | es |
dc.subject | Strips and sectors | es |
dc.subject | Growth index | es |
dc.title | A lot of “counterexamples” to Liouville's theorem | 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 | PB93-0926 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022247X9690298X?token=56B319762D841EA68B663502C246A6E4E4B7B47CC0CA10AA7485A719E746640B8A365325E76230250B5BC8C8EE576445 | es |
dc.identifier.doi | 10.1006/jmaa.1996.0298 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 201 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1002 | es |
dc.publication.endPage | 1009 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
A lot of “counterexamples” to ... | 81.40Kb | [PDF] | Ver/ | |