English

Hypercyclic Algebras for convolution operators of unimodular constant term

Functional Analysis 2019-05-09 v1

Abstract

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

Keywords

Cite

@article{arxiv.1905.03157,
  title  = {Hypercyclic Algebras for convolution operators of unimodular constant term},
  author = {J. Bes and R. Ernst and A. Prieto},
  journal= {arXiv preprint arXiv:1905.03157},
  year   = {2019}
}
R2 v1 2026-06-23T09:00:32.789Z