# American Institute of Mathematical Sciences

February  2015, 35(2): 637-652. doi: 10.3934/dcds.2015.35.637

## Classical operators on the Hörmander algebras

 1 Facultad de Magisterio, Universitat de València, Avda. Tarongers, 4, E-46022-Valencia, Spain 2 Instituto Universitario de Matemática Pura y Aplicada, IUMPA Universitat Politència, Camino de Vera, s/n., E-46022 Valencia, Spain 3 Departamento de Análisis Matemático, Universitat de València, C/ Dr. Moliner, 50, E-46100-Burjassot, Spain

Received  July 2013 Revised  October 2013 Published  September 2014

We study the integration operator, the differentiation operator and more general differential operators on radial Fréchet or (LB) Hörmander algebras of entire functions. We analyze when these operators are power bounded, hypercyclic and (uniformly) mean ergodic.
Citation: María José Beltrán, José Bonet, Carmen Fernández. Classical operators on the Hörmander algebras. Discrete & Continuous Dynamical Systems - A, 2015, 35 (2) : 637-652. doi: 10.3934/dcds.2015.35.637
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