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Hypercyclic Algebras for convolution operators of unimodular constant term

Published 8 May 2019 in math.FA | (1905.03157v1)

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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