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Frequently hypercyclic translation semigroups (1407.4637v2)
Published 17 Jul 2014 in math.FA
Abstract: Frequent hypercyclicity for translation $C_0$-semigroups on weighted spaces of continuous functions is investigated. The results are achieved by establishing an analogy between frequent hypercyclicity for the translation semigroup and for weighted pseudo-shifts and by characterizing frequent hypercyclic weighted pseudo-shifts in spaces of vanishing sequences. Frequent hypercylic translation semigroups in weighted $Lp$-spaces are also characterized.