Let $G$ be a locally compact group with the left Haar measure $m_{G}$. A probability measure ${\mu}$ on $G$ is said to be strictly aperiodic if the support of ${\mu}$ is not contained in a proper closed left coset of $G$. In this paper, we prove weight ergodic theorems for strictly aperiodic measures.
Variable Lebesgue algebra on a Locally Compact group
Characterisations of Fourier and Fourier--Stieltjes algebras on locally compact groups
On an isomorphism theorem for the Feichtinger's Segal alagebra on locally compact groups
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