0000000000953798

AUTHOR

Karl-goswin Grosse-erdmann

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Rate of growth of frequently hypercyclic functions

2010

AbstractWe 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.

Translation operatorPure mathematicsOperator (computer programming)Harmonic functionGeneral MathematicsEntire functionMathematical analysisRate of growthMathematicsProceedings of the Edinburgh Mathematical Society
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