Compositionally universal entire functions on the plane and the punctured plane

Bernal González, Luis

doi:10.1007/s11785-012-0235-9

Artículo

dc.creator	Bernal González, Luis	es
dc.date.accessioned	2019-06-18T11:15:20Z
dc.date.available	2019-06-18T11:15:20Z
dc.date.issued	2013-06
dc.identifier.citation	Bernal González, L. (2013). Compositionally universal entire functions on the plane and the punctured plane. Complex Analysis and Operator Theory, 7 (3), 577-592.
dc.identifier.issn	1661-8254	es
dc.identifier.issn	1661-8262	es
dc.identifier.uri	https://hdl.handle.net/11441/87490
dc.description.abstract	Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition operators that is universal on the punctured plane are provided. As a consequence, it is derived that only for translations and rotation-dilations there can be entire functions whose orbits present universality. Boundedness of these functions on unbounded sets as well as frequent universality on the whole plane are also analyzed.	es
dc.description.sponsorship	Plan Andaluz de Investigación (Junta de Andalucía)	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.description.sponsorship	Ministerio de Ciencia y Tecnología (MCYT). España	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Complex Analysis and Operator Theory, 7 (3), 577-592.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Universal entire functions	es
dc.subject	Punctured plane	es
dc.subject	Universal sequence of operators	es
dc.subject	Hypercyclic functions	es
dc.subject	Boundedness	es
dc.subject	Frequent universality	es
dc.title	Compositionally universal entire functions on the plane and the punctured plane	es
dc.type	info:eu-repo/semantics/article	es
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	FQM-127	es
dc.relation.projectID	MTM2009-10696-C02-01	es
dc.relation.projectID	MTM2007-30904-E	es
dc.relation.publisherversion	https://link.springer.com/content/pdf/10.1007%2Fs11785-012-0235-9.pdf	es
dc.identifier.doi	10.1007/s11785-012-0235-9	es
dc.contributor.group	Universidad de Sevilla. FQM127: Análisis Funcional no Lineal	es
idus.format.extent	16 p.	es
dc.journaltitle	Complex Analysis and Operator Theory	es
dc.publication.volumen	7	es
dc.publication.issue	3	es
dc.publication.initialPage	577	es
dc.publication.endPage	592	es

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