On the law of the iterated logarithm for lacunary trigonometric series

DOI10.2748/tmj/1178241542zbMath0241.42007OpenAlexW1510210512WikidataQ114845225 ScholiaQ114845225MaRDI QIDQ2553754

Shigeru Takahashi

Publication date: 1972

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241542

Mathematics Subject Classification ID

Lacunary series of trigonometric and other functions; Riesz products (42A55) Limit theorems in probability theory (60Fxx)

Related Items (14)

Critical behavior in almost sure central limit theory ⋮ On the Uniform Theory of Lacunary Series ⋮ Irregular LIL behaviour of lacunary trigonometric series ⋮ Critical Lil Behavior of the Trigonometric System ⋮ On the central limit theorem for lacunary trigonometric series ⋮ A note on lacunary trigonometric series ⋮ On the law of the iterated logarithm for random exponential sums ⋮ Almost sure invariance principles for lacunary trigonometric series ⋮ On the law of the iterated logarithm for lacunary trigonometric series. II ⋮ On the asymptotic behavior of weakly lacunary series ⋮ An Optimal Condition for the Lil for Trigonometric Series ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On permutation-invariance of limit theorems ⋮ Extremal discrepancy behavior of lacunary sequences

Cites Work

• On trigonometric Fourier coefficients
• The Law of the Iterated Logarithm for Lacunary Trigonometric Series
• Unnamed Item

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