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arXiv · 1809.02554

Frequently hypercyclic $C$-distribution semigroups and their generalizations

Marko Kostic
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Abstract

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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Marko Kostic. 2018-09-07. Frequently hypercyclic $C$-distribution semigroups and their generalizations. https://arxiv.org/abs/1809.02554

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