Publication: Powers of hypercyclic functions for some classical hypercyclic operators
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Publication Date
2007
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Birkhauser Verlag
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Abstract
We show that no power of any entire function is hypercyclic for Birkhoff's translation operator on H(C). On the other hand, we see that the set of functions whose powers are all hypercyclic for MacLane's differentiation operator is a G(delta)-dense subset of H(C).
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