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arXiv · 2004.07622

Ergodic properties of convolution operators

Jorge Galindo·Enrique Jordá
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Abstract

Let $G$ be a locally compact group and $\mu$ be a measure on $G$. In this paper we find conditions for the convolution operators $\lambda_p(\mu)$, defined on $L^p(G)$ and given by convolution by $\mu$, to be mean ergodic and uniformly mean ergodic. The ergodic properties of the operators $\lambda_p(\mu)$ are related to the ergodic properties of the measure $\mu$ as well.

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Jorge Galindo, Enrique Jordá. 2020-04-16. Ergodic properties of convolution operators. https://arxiv.org/abs/2004.07622

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