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arXiv · 1008.1329

Almost everywhere convergence of convolution powers without finite second moment

Christopher M. Wedrychowicz
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Abstract

We generalize a theorem of Bellow and Calder\'on concerning the a.e. convergence of the convolution powers $\ds \mu^nf(x)=\sum_{k}\mu^n(k)f(T^k x)$ where $T$ is a measure preserving transformation of a probability space and $\mu$ is a probability measure on the integers.

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Christopher M. Wedrychowicz. 2010-08-07. Almost everywhere convergence of convolution powers without finite second moment. https://arxiv.org/abs/1008.1329

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