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

Vitaly E. Kim

doi:10.1016/j.jmaa.2014.05.085

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

Complex Variables 2014-10-21 v2

Authors: 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 $H(\mathbb{C}^d)$ .

Keywords

entire functions partial derivatives complete systems frequently hypercyclic operators space of entire functions complex analysis

Cite

@article{arxiv.1310.7133,
  title  = {Complete systems of partial derivatives of entire functions and frequently hypercyclic operators},
  author = {Vitaly E. Kim},
  journal= {arXiv preprint arXiv:1310.7133},
  year   = {2014}
}

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11 pages

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