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arXiv 2015-08-28 0 views

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

Bernal-Gonzalez, Luis · Bonilla, Antonio

Original · EN

For the Dunkl operator Λα (α> -1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mₚ(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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