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2007, 2007(Special): 269-276. doi: 10.3934/proc.2007.2007.269

Chaotic translation semigroups

José A. Conejero 1, and  Alfredo Peris 2,

1. 

Instituto Universitario de Matemática Pura y Aplicada. Edificio 1H, Universidad Politécnica de Valencia, E-46022, Valencia, Spain
2. 

Departament de Matemàtica Aplicada & IUMPA Edifici 7A, Universitat Politècnica de València, E-46022, València, Spain

Received  September 2006 Revised  May 2007 Published  September 2007

We characterize chaos for the translation semigroup, with a sector in the complex plane as index set, defined on a weighted function space. The results are stated in terms of the integrability of the weight function, and in terms of the existence of periodic points. We generalize previous results of [8, 15]. Some examples are also provided to complete the study.
Keywords: Chaotic semigroups of operators..
Mathematics Subject Classification: Primary: 37D45 ; Secondary: 47D06, 47A1.
Citation: José A. Conejero, Alfredo Peris. Chaotic translation semigroups. Conference Publications, 2007, 2007 (Special) : 269-276. doi: 10.3934/proc.2007.2007.269
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