averaging operators 1locally compact abelian groups 1spectral mapping theorem 1spectral theory 1unitary representations 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.SP2026
Spectra of averages of unitary representations of LCA groups
Guy Cohen, Michael Lin
The paper studies the spectrum of operators obtained by averaging unitary representations of locally compact Abelian groups with respect to a probability measure, establishing incl…
math.PR2026
Doeblin's condition, -mixing and spectra of convolution operators on the circle
Guy Cohen, Michael Lin
We study the asymptotic behavior of Markov operators defined by convolution with a probability measure on the unit circle . We prove that when is adapte…