Work

Frequently hypercyclic $C$-distribution semigroups and their generalizations

Year: 2018

Type: preprint

Abstract: In this paper, we introduce the notions of $f$-frequent hypercyclicity and ${\mathcal F}$-hypercyclicity for $C$-distribution semigroups in separable Fréchet 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1809.02554

Author: Kostic, Marko

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2891655158

Cites: 25

Cited by: 2

Related to: 10