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arXiv · 1905.03157

Hypercyclic Algebras for convolution operators of unimodular constant term

J. Bes·R. Ernst·A. Prieto
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Abstract

We study the existence of hypercyclic algebras for convolution operators $\Phi(D)$ on the space of entire functions whose symbol $\Phi$ has unimodular constant term. In particular, we provide new eigenvalue criteria for the existence of densely strongly algebrable sets of hypercyclic vectors.

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J. Bes, R. Ernst, A. Prieto. 2019-05-08. Hypercyclic Algebras for convolution operators of unimodular constant term. https://arxiv.org/abs/1905.03157

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