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

2025/01/15 by Bryan R. Johnson, Johnson, Bryan, Joseph D. Rosenblatt +1
Economics, Econometrics and Finance · Mathematics · #42A61 #Approximation Theory and Sequence Spaces #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Approximation and Integration #Primary: 28D05 #Secondary: 37A46 #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2501.09202

openalex publication_date 2025/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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