Theoretical analysis reveals growth rate bounds for frequently hypercyclic entire and harmonic functions, highlighting dynamical constraints imposed by translation and differentiation operators.
We study the rate of growth of entire functions that are frequently hypercyclic for the differentiation operator or the translation operator. Moreover, we prove the existence of frequently hypercyclic harmonic functions for the translation operator and we study the rate of growth of harmonic functions that are frequently hypercyclic for partial differentiation operators.
No takes yet. Share an insight, caveat, or question.
Blasco et al. (2010) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: