Frequently Hypercyclic Sequences of Differential Operators on the Space of Entire Functions
A criterion to obtain frequent hypercyclicity for a sequence of convolution operators on the space of entire functions on the complex plane is provided. The criterion involves that the generating functions of the operators do not vanish on an appropriate closed annulus, in the boundary of which the...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2026 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::902876e1f25f6b4c09ac510d643ad999 |
| Online Access: | https://hdl.handle.net/11441/186921 https://doi.org/10.1007/s00025-026-02680-x |
| Access Level: | Open access |
| Keyword: | Differential operator Entire functions Hypercyclic sequence of operators Frequent hypercyclicity Borel transform |
| Summary: | A criterion to obtain frequent hypercyclicity for a sequence of convolution operators on the space of entire functions on the complex plane is provided. The criterion involves that the generating functions of the operators do not vanish on an appropriate closed annulus, in the boundary of which the modulus of each term of the sequence is in some sense controlled by the preceding ones or the following ones. |
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