An Optimal Condition for the Lil for Trigonometric Series

DOI10.2307/2154899zbMath0827.42006OpenAlexW4242058158MaRDI QIDQ4318459

István Berkes

Publication date: 30 November 1995

Full work available at URL: https://doi.org/10.2307/2154899

zbMATH Keywords

law of the iterated logarithmLILHadamard gap condition

Mathematics Subject Classification ID

Strong limit theorems (60F15) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (2)

On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class ⋮ On the law of the iterated logarithm for random exponential sums

Cites Work

• On the law of the iterated logarithm for lacunary trigonometric series. II
• On the law of the iterated logarithm for lacunary trigonometric series
• Critical Lil Behavior of the Trigonometric System
• On Lacunary Trigonometric Series
• The General Form of the So-Called Law of the Iterated Logarithm
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