Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives

Bryan Johnson; Joseph Rosenblatt

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arXiv · 2501.09202

Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives

Bryan Johnson·Joseph Rosenblatt

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Abstract

We consider when there is absolute or unconditional convergence of series of various types of stochastic processes. These processes include differences of averages in ergodic theory and harmonic analysis, like the classical Cesaro average in ergodic theory and Lebesgue derivatives in harmonic analysis.

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Bryan Johnson, Joseph Rosenblatt. 2025-01-15. Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives. https://arxiv.org/abs/2501.09202

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