Pointwise convergence of averages along cubes II
Abstract
Description
Let $(X,\mathcal{B},μ, T)$ be a measure preserving system. We prove the pointwise convergence of averages along cubes of $2^{k}-1$ bounded and measurable functions for all $k$.
12 pages, latex, initially. Now it 10 pages long. It is modified accordingly to the changes made in the paper math.DS/0305388 which deals with the averages of three and seven functions and the weakly mixing case
12 pages, latex, initially. Now it 10 pages long. It is modified accordingly to the changes made in the paper math.DS/0305388 which deals with the averages of three and seven functions and the weakly mixing case