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math.CA2011★ 1 cited
Almost everywhere convergence of convolution products
Karin Reinhold, Anna Savvopoulou, Christopher Wedrychowicz
Let be a dynamical system with $\ds (X,\mathcal{B},m)$ a probability space and $\ds τ$ an invertible, measure preserving transformation. The present paper dea…
math.CA2010
Almost everywhere convergence of convolution powers without finite second moment
Christopher M. Wedrychowicz
We generalize a theorem of Bellow and Calderón concerning the a.e. convergence of the convolution powers $\ds μ^nf(x)=\sum_{k}μ^n(k)f(T^k x)$ where is a measure preserving tran…