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arxiv: math/0305403 · v2 · submitted 2003-05-28 · 🧮 math.DS

Pointwise convergence of averages along cubes II

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keywords alongaveragesconvergencecubespointwiseboundedfunctionsmathcal
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Let $(X,\mathcal{B},\mu, T)$ be a measure preserving system. We prove the pointwise convergence of averages along cubes of $2^{k}-1$ bounded and measurable functions for all $k$.

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