Common hypercyclic functions for multiples of convolution and non-convolution operators

We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-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:2009
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87519
Acceso en línea:https://hdl.handle.net/11441/87519
https://doi.org/10.1090/S0002-9939-09-09943-2
Access Level:acceso abierto
Palabra clave:Hypercyclic operators
Common hypercyclic vectors
Entire functions
Linear differential operators
Borel transform
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spelling Common hypercyclic functions for multiples of convolution and non-convolution operatorsBernal González, LuisHypercyclic operatorsCommon hypercyclic vectorsEntire functionsLinear differential operatorsBorel transformWe prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Educación y Ciencia (MEC). EspañaAmerican Mathematical SocietyAnálisis MatemáticoFQM127: Análisis Funcional no Lineal2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/87519https://doi.org/10.1090/S0002-9939-09-09943-2reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésProceedings of the American Mathematical Society, 137 (11), 3787-3795.FQM-127MTM2006-13997-C02-01MTM2006-26627-Ehttp://www.ams.org/journals/proc/2009-137-11/S0002-9939-09-09943-2/S0002-9939-09-09943-2.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/875192026-06-17T12:51:07Z
dc.title.none.fl_str_mv Common hypercyclic functions for multiples of convolution and non-convolution operators
title Common hypercyclic functions for multiples of convolution and non-convolution operators
spellingShingle Common hypercyclic functions for multiples of convolution and non-convolution operators
Bernal González, Luis
Hypercyclic operators
Common hypercyclic vectors
Entire functions
Linear differential operators
Borel transform
title_short Common hypercyclic functions for multiples of convolution and non-convolution operators
title_full Common hypercyclic functions for multiples of convolution and non-convolution operators
title_fullStr Common hypercyclic functions for multiples of convolution and non-convolution operators
title_full_unstemmed Common hypercyclic functions for multiples of convolution and non-convolution operators
title_sort Common hypercyclic functions for multiples of convolution and non-convolution 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 operators
Common hypercyclic vectors
Entire functions
Linear differential operators
Borel transform
topic Hypercyclic operators
Common hypercyclic vectors
Entire functions
Linear differential operators
Borel transform
description We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients.
publishDate 2009
dc.date.none.fl_str_mv 2009
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/11441/87519
https://doi.org/10.1090/S0002-9939-09-09943-2
url https://hdl.handle.net/11441/87519
https://doi.org/10.1090/S0002-9939-09-09943-2
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society, 137 (11), 3787-3795.
FQM-127
MTM2006-13997-C02-01
MTM2006-26627-E
http://www.ams.org/journals/proc/2009-137-11/S0002-9939-09-09943-2/S0002-9939-09-09943-2.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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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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