Hypercyclic sequences of differential and antidifferential operators

In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions a theorem about hypercyclicity of certain infinite order linear differential op...

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Detalles Bibliográficos
Autor: Bernal González, Luis
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:1999
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87536
Acceso en línea:https://hdl.handle.net/11441/87536
https://doi.org/10.1006/jath.1998.3237
Access Level:acceso abierto
Palabra clave:Hypercyclic operator
Hypercyclic sequence
Fréchet space
Invariant linear manifold
Analytic function of several complex variables
Runge domain
Infinite order differential and antidifferential operators
Zero-free function
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spelling Hypercyclic sequences of differential and antidifferential operatorsBernal González, LuisHypercyclic operatorHypercyclic sequenceFréchet spaceInvariant linear manifoldAnalytic function of several complex variablesRunge domainInfinite order differential and antidifferential operatorsZero-free functionIn this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions a theorem about hypercyclicity of certain infinite order linear differential operators with constant coefficients and study the corresponding property for certain kinds of “antidifferential” operators which are introduced in the paper. In addition, the existence of hypercyclic functions for certain sequences of differential operators with additional properties, for instance, boundedness or with some nonvanishing derivatives, is established.Dirección General de Investigación Científica y Técnica (DGICYT). EspañaElsevierAnálisis MatemáticoFQM127: Análisis Funcional no Lineal1999info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87536https://doi.org/10.1006/jath.1998.3237reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Approximation Theory, 96 (2), 323-337.PB96-1348https://reader.elsevier.com/reader/sd/pii/S0021904598932373?token=68B78411A81408DAC4F5B6B0100E624A1D395E1A96638D2FD2C7C02139808391840EB8AF868B5D51FCB7D8D0EB89418Dinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/875362026-06-17T12:51:07Z
dc.title.none.fl_str_mv Hypercyclic sequences of differential and antidifferential operators
title Hypercyclic sequences of differential and antidifferential operators
spellingShingle Hypercyclic sequences of differential and antidifferential operators
Bernal González, Luis
Hypercyclic operator
Hypercyclic sequence
Fréchet space
Invariant linear manifold
Analytic function of several complex variables
Runge domain
Infinite order differential and antidifferential operators
Zero-free function
title_short Hypercyclic sequences of differential and antidifferential operators
title_full Hypercyclic sequences of differential and antidifferential operators
title_fullStr Hypercyclic sequences of differential and antidifferential operators
title_full_unstemmed Hypercyclic sequences of differential and antidifferential operators
title_sort Hypercyclic sequences of differential and antidifferential operators
dc.creator.none.fl_str_mv Bernal González, Luis
author Bernal González, Luis
author_facet Bernal González, Luis
author_role author
dc.contributor.none.fl_str_mv Análisis Matemático
FQM127: Análisis Funcional no Lineal
dc.subject.none.fl_str_mv Hypercyclic operator
Hypercyclic sequence
Fréchet space
Invariant linear manifold
Analytic function of several complex variables
Runge domain
Infinite order differential and antidifferential operators
Zero-free function
topic Hypercyclic operator
Hypercyclic sequence
Fréchet space
Invariant linear manifold
Analytic function of several complex variables
Runge domain
Infinite order differential and antidifferential operators
Zero-free function
description In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions a theorem about hypercyclicity of certain infinite order linear differential operators with constant coefficients and study the corresponding property for certain kinds of “antidifferential” operators which are introduced in the paper. In addition, the existence of hypercyclic functions for certain sequences of differential operators with additional properties, for instance, boundedness or with some nonvanishing derivatives, is established.
publishDate 1999
dc.date.none.fl_str_mv 1999
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/11441/87536
https://doi.org/10.1006/jath.1998.3237
url https://hdl.handle.net/11441/87536
https://doi.org/10.1006/jath.1998.3237
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Approximation Theory, 96 (2), 323-337.
PB96-1348
https://reader.elsevier.com/reader/sd/pii/S0021904598932373?token=68B78411A81408DAC4F5B6B0100E624A1D395E1A96638D2FD2C7C02139808391840EB8AF868B5D51FCB7D8D0EB89418D
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 Elsevier
publisher.none.fl_str_mv Elsevier
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 15,300724

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