Frequently hypercyclic C-distribution semigroups and their generalizations
classification
🧮 math.FA
keywords
distributionsemigroupsfrequentlyhypercyclichypercyclicityanalyzeclassesechet
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In this paper, we introduce the notions of $f$-frequent hypercyclicity and ${\mathcal F}$-hypercyclicity for $C$-distribution semigroups in separable Fr\'echet spaces. We particularly analyze the classes of $q$-frequently hypercyclic $C$-distribution semigroups ($q\geq 1$) and frequently hypercyclic $C$-distribution semigroups, providing a great number of illustrative examples.
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