On the convergence of ∑𝑐_{𝑘}𝑓(𝑛_{𝑘}𝑥)

DOI10.1090/memo/0943zbMath1183.42031OpenAlexW2067844333MaRDI QIDQ3396201

Michel J. G. Weber, István Berkes

Publication date: 16 September 2009

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0943

zbMATH Keywords

random walksmartingalesDirichlet seriesdiscrepancylacunary seriesalmost everywhere convergencemean convergencequasi-orthogonalityrandom trigonometric series

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) General harmonic expansions, frames (42C15) Dirichlet series, exponential series and other series in one complex variable (30B50) Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55) Probabilistic methods for one variable harmonic analysis (42A61)

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