6533b854fe1ef96bd12addc9

RESEARCH PRODUCT

Rate of growth of frequently hypercyclic functions

Antonio BonillaOscar BlascoKarl-goswin Grosse-erdmann

subject

Translation operatorPure mathematicsOperator (computer programming)Harmonic functionGeneral MathematicsEntire functionMathematical analysisRate of growthMathematics

description

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.

yearjournalcountryeditionlanguage
2010-01-12Proceedings of the Edinburgh Mathematical Society
https://doi.org/10.1017/s0013091508000564