Guy Cohen

collaborators

3 papers

math.SP2026

Spectra of averages of unitary representations of LCA groups

Guy Cohen, Michael Lin

Let $G$ be a locally compact Abelian (LCA) group with dual group $Γ$ , and let $μ$ be a probability measure on (the Borel sets of) $G$ . Given a unitary representation $\{U(t): t \in…

math.PR2026

Doeblin's condition, $ρ$ -mixing and spectra of convolution operators on the circle

Guy Cohen, Michael Lin

We study the asymptotic behavior of Markov operators $P_{μ}$ defined by convolution with a probability measure $μ$ on the unit circle $T$ . We prove that when $μ$ is adapted,…

math.DS2023

Uniform ergodicity and the one-sided ergodic Hilbert transform

Guy Cohen, Michael Lin

Let $T$ be a bounded linear operator on a Banach space $X$ satisfying $∥ T^{n} ∥/ n \to 0$ . We prove that $T$ is uniformly ergodic if and only if the one-sided ergodic Hilbert transfo…

Spectra of averages of unitary representations of LCA groups

Doeblin's condition, ρ-mixing and spectra of convolution operators on the circle

Uniform ergodicity and the one-sided ergodic Hilbert transform

Doeblin's condition, $ρ$ -mixing and spectra of convolution operators on the circle