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math.FA2015
Large algebras of singular functions vanishing on prescribed sets
Luis Bernal-González, María del Carmen Calderón-Moreno
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in te…
math.FA2015
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
Luis Bernal-Gonzalez, Antonio Bonilla
For the Dunkl operator on the space of entire functions on the complex space C, the critical rate of growth for the integral means of their hypercyclic…
math.CV2015
Order of growth of distributional irregular entire functions for the differentiation operator
Luis Bernal-Gonzalez, Antonio Bonilla
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given and $b \in (0,a…