Almost everywhere convergence of convolution powers without finite second moment

We generalize a theorem of Bellow and Calderón 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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Veröffentlicht in:	arXiv.org 2010-08
1. Verfasser:	Wedrychowicz, Christopher M
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Convolution Integers
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description	We generalize a theorem of Bellow and Calderón 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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subjects	Convergence Convolution Integers
title	Almost everywhere convergence of convolution powers without finite second moment
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