Rate of growth of frequently hypercyclic functions

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 functio...

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 2010-02, Vol.53 (1), p.39-59
Main Authors: Blasco, O., Bonilla, A., Grosse-Erdmann, K.-G.
Format: Article
Language:English
Subjects:
47B37
47B38
entire function
Frequent Hypercyclicity Criterion
frequently hypercyclic operator
frequently hypercyclic vector
Harmonic analysis
harmonic function
Mathematical functions
Primary 47A16
rate of growth
Secondary 30D15
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Summary: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.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091508000564