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# Chaotic translation semigroups

• 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.
Mathematics Subject Classification: Primary: 37D45 ; Secondary: 47D06, 47A16.

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