arXiv subjects

J. Bes

Publications and source records attributed to J. Bes.

2 recordsLinked to original sources

arXiv2025

Supercyclic weighted composition operators on the space of smooth functions

A weighted composition operator on the space of scalar-valued smooth functions on an open set of d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing. Every mixing such operator is chaotic. In the one-dimensional case, it is supercyclic if and only if it is mixing and if and only if it is chaotic.

math.FA↗

arXiv2019

Hypercyclic Algebras for convolution operators of unimodular constant term

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.

math.FA↗