68 citations · 79 across the 7 of their papers we have counts for
7 papers
Hypercyclic Algebras for convolution operators of unimodular constant term
J. Bes, R. Ernst, A. Prieto
We study the existence of hypercyclic algebras for convolution operators on the space of entire functions whose symbol has unimodular constant term. In particular, we pr…
Algebrable sets of hypercyclic vectors for convolution operators
Juan Bès, Dimitris Papathanasiou
We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkh…
Hypercyclic algebras for convolution and composition operators
Juan Bès, José Alberto Conejero, Dimitrios Papathanasiou
We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator of complex differentiation supports a hypercyclic algebra on the space of entir…
Recurrence properties of hypercyclic operators
Juan Bès, Quentin Menet, Alfredo Peris +1
We generalize the notions of hypercyclic operators, -frequently hypercyclic operators and frequently hypercyclic operators by introducing a new notion of hypercyclici…
Existence of common and upper frequently hypercyclic subspaces
Juan Bès, Quentin Menet
We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences. There exist frequent…
Hypercyclic differentiation operators
Richard M. Aron, Juan P. Bes
A classical theorem due to G.D. Birkhoff states that there exists an entire function whose translates approximate any given entire function, as accurately as desired, over any ball…