Beltrán Meneu, MJ.; Bonet Solves, JA.; Fernández, C. (2015). Classical operators on the Hörmander algebras. Discrete and Continuous Dynamical Systems - Series A. 35(2):637-652. https://doi.org/10.3934/dcds.2015.35.637
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/71247
Title:
|
Classical operators on the Hörmander algebras
|
Author:
|
Beltrán Meneu, María José
Bonet Solves, José Antonio
Fernández, Carmen
|
UPV Unit:
|
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Escuela Técnica Superior de Arquitectura - Escola Tècnica Superior d'Arquitectura
|
Issued date:
|
|
Abstract:
|
We study the integration operator, the differentiation operator
and more general differential operators on radial Fr´echet or (LB) H¨ormander
algebras of entire functions. We analyze when these operators are power
bounded, ...[+]
We study the integration operator, the differentiation operator
and more general differential operators on radial Fr´echet or (LB) H¨ormander
algebras of entire functions. We analyze when these operators are power
bounded, hypercyclic and (uniformly) mean ergodic.
[-]
|
Subjects:
|
Hörmander algebras
,
Hypercyclic operators
,
Mean ergodic operators
,
Hypercyclic
,
Chaotic
,
Differential operators
,
Entire functions
,
Growth conditions
,
Weighted spaces of entire functions
|
Copyrigths:
|
Reserva de todos los derechos
|
Source:
|
Discrete and Continuous Dynamical Systems - Series A. (issn:
1078-0947
)
|
DOI:
|
10.3934/dcds.2015.35.637
|
Publisher:
|
American Institute of Mathematical Sciences (AIMS)
|
Publisher version:
|
http://dx.doi.org/10.3934/dcds.2015.35.637
|
Project ID:
|
info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/MICINN//AP2008-00604/ES/AP2008-00604/
info:eu-repo/grantAgreement/UPV//PAID-06-12/
info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/
|
Thanks:
|
This research was partially supported by MEC and FEDER Project MTM2010-15200. The research of M. J. Beltran was also supported by grant F.P.U. AP2008-00604 and Programa de Apoyo a la Investigacion y Desarrollo de la UPV ...[+]
This research was partially supported by MEC and FEDER Project MTM2010-15200. The research of M. J. Beltran was also supported by grant F.P.U. AP2008-00604 and Programa de Apoyo a la Investigacion y Desarrollo de la UPV PAID-06-12, and the research of J. Bonet and C. Fernandez, by GVA under Project PROMETEOII/2013/013.
[-]
|
Type:
|
Artículo
|