Irregular LIL behaviour of lacunary trigonometric series

DOI10.1007/BF02352692zbMath0783.42007OpenAlexW2059196550MaRDI QIDQ1176048

István Berkes

Publication date: 25 June 1992

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02352692

zbMATH Keywords

law of the iterated logarithmcentral limit theoremfluctuationlacunary trigonometric seriesLILKolmogorov upper-lower limit test

Mathematics Subject Classification ID

Strong limit theorems (60F15) Lacunary series of trigonometric and other functions; Riesz products (42A55) Probabilistic methods for one variable harmonic analysis (42A61)

Cites Work

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• A note on lacunary trigonometric series
• On the law of the iterated logarithm for lacunary trigonometric series
• An almost sure invariance principle for lacunary trigonometric series
• LACUNARY SERIES AND INDEPENDENT FUNCTIONS

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