Common hypercyclic functions for multiples of convolution and non-convolution operators

Description

We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds if T is a finite-order linear differential operator with non-constant coefficients.

Abstract

Plan Andaluz de Investigación (Junta de Andalucía)

Abstract

Ministerio de Educación y Ciencia (MEC). España

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