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

Fuente: arXiv
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Autori principali: Johnson, Bryan, Rosenblatt, Joseph
Natura: Preprint
Pubblicazione: 2025
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author Johnson, Bryan
Rosenblatt, Joseph
author_facet Johnson, Bryan
Rosenblatt, Joseph
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09202
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives
Johnson, Bryan
Rosenblatt, Joseph
Dynamical Systems
Primary: 28D05, 42A61, Secondary: 37A46
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.
title Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives
topic Dynamical Systems
Primary: 28D05, 42A61, Secondary: 37A46
url https://arxiv.org/abs/2501.09202