Frequently hypercyclic sequences of differential operators on the space of entire functions
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908848373104640 |
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| author | Bernal-González, L. Calderón-Moreno, M. C. Prado-Bassas, J. A. |
| author_facet | Bernal-González, L. Calderón-Moreno, M. C. Prado-Bassas, J. A. |
| contents | 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 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_19343 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Frequently hypercyclic sequences of differential operators on the space of entire functions Bernal-González, L. Calderón-Moreno, M. C. Prado-Bassas, J. A. Complex Variables Dynamical Systems 30D15, 30K15, 47A16, 47B91 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 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. |
| title | Frequently hypercyclic sequences of differential operators on the space of entire functions |
| topic | Complex Variables Dynamical Systems 30D15, 30K15, 47A16, 47B91 |
| url | https://arxiv.org/abs/2602.19343 |