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frequent hypercyclicity criterion

Proceedings of the Edinburgh Mathematical Society (1)

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Rate of growth of frequently hypercyclic functions
Part of
- Entire and meromorphic functions, and related topics
- General theory of linear operators
O. Blasco, A. Bonilla, K.-G. Grosse-Erdmann
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 53 / Issue 1 / February 2010

Published online by Cambridge University Press:

12 January 2010, pp. 39-59
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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.