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arXiv · 1310.7133

Complete systems of partial derivatives of entire functions and frequently hypercyclic operators

Vitaly E. Kim
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Abstract

We find some sufficient conditions for a system of partial derivatives of an entire function to be complete in the space $H(\mathbb{C}^d)$ of all entire functions of $d$ variables. As an appliation of this result we describe new classes of frequently hypercyclic operators on $H(\mathbb{C}^d)$.

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Vitaly E. Kim. 2013-10-26. Complete systems of partial derivatives of entire functions and frequently hypercyclic operators. https://doi.org/10.1016/j.jmaa.2014.05.085

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