arXiv: Functional Analysis | 2019
Hypercyclic Algebras for convolution operators of unimodular constant term
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.