Exponential type of hypercyclic entire functions

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 whi...

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Detalles Bibliográficos
Autores: Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87483
Acceso en línea:https://hdl.handle.net/11441/87483
https://doi.org/0003-889X/02/040283-08
Access Level:acceso abierto
Palabra clave:Entire function
Hypercyclic function
Infinite order differential operator
Growth
Exponential type
Dense linear manifold
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spelling Exponential type of hypercyclic entire functionsBernal González, LuisBonilla Ramírez, Antonio LorenzoEntire functionHypercyclic functionInfinite order differential operatorGrowthExponential typeDense linear manifoldIn 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.Dirección General de Enseñanza Superior (DGES). EspañaJunta de AndalucíaSpringerAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2002info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87483https://doi.org/0003-889X/02/040283-08reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésArchiv der Mathematik, 78 (4), 283-290.PB96–1348PB98-0444https://link.springer.com/content/pdf/10.1007%2Fs00013-002-8248-7.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/874832026-06-17T12:51:07Z
dc.title.none.fl_str_mv Exponential type of hypercyclic entire functions
title Exponential type of hypercyclic entire functions
spellingShingle Exponential type of hypercyclic entire functions
Bernal González, Luis
Entire function
Hypercyclic function
Infinite order differential operator
Growth
Exponential type
Dense linear manifold
title_short Exponential type of hypercyclic entire functions
title_full Exponential type of hypercyclic entire functions
title_fullStr Exponential type of hypercyclic entire functions
title_full_unstemmed Exponential type of hypercyclic entire functions
title_sort Exponential type of hypercyclic entire functions
dc.creator.none.fl_str_mv Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo
author Bernal González, Luis
author_facet Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo
author_role author
author2 Bonilla Ramírez, Antonio Lorenzo
author2_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Entire function
Hypercyclic function
Infinite order differential operator
Growth
Exponential type
Dense linear manifold
topic Entire function
Hypercyclic function
Infinite order differential operator
Growth
Exponential type
Dense linear manifold
description 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.
publishDate 2002
dc.date.none.fl_str_mv 2002
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/87483
https://doi.org/0003-889X/02/040283-08
url https://hdl.handle.net/11441/87483
https://doi.org/0003-889X/02/040283-08
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Archiv der Mathematik, 78 (4), 283-290.
PB96–1348
PB98-0444
https://link.springer.com/content/pdf/10.1007%2Fs00013-002-8248-7.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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