Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator

Published 28 Aug 2015 in math.FA | (1508.07180v1)

Abstract: For the Dunkl operator $\Lambda_\alpha$ $(\alpha > -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.

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