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<p>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.</p>

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Frequently Hypercyclic Sequences of Differential Operators on the Space of Entire Functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月1日

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  • L. Bernal-González,
  • M. C. Calderón-Moreno,
  • J.A. Prado-Bassas

摘要

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.