A central limit theorem for trigonometric series with small gaps
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Publication:3965321
DOI10.1007/BF00535280zbMath0499.60019MaRDI QIDQ3965321
Publication date: 1979
Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Lacunary series of trigonometric and other functions; Riesz products (42A55)
Related Items (18)
On the law of the iterated logarithm for trigonometric series with bounded gaps. II ⋮ On the central limit theorem for \(f(n_{k}x)\) ⋮ Concentration inequalities and limit theorems for randomized sums ⋮ On the Uniform Theory of Lacunary Series ⋮ On Weyl products and uniform distribution modulo one ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps ⋮ On the class of limits of lacunary trigonometric series ⋮ Pure Gaussian limit distributions of trigonometric series with bounded gaps ⋮ A metric discrepancy result for a lacunary sequence with small gaps ⋮ On a problem of Bourgain concerning the \(L^1\)-norm of exponential sums ⋮ On the law of the iterated logarithm for random exponential sums ⋮ On the maximal spectral type of a class of rank one transformations ⋮ A note on the central limit theorem for orthogonal series ⋮ A central limit theorem for trigonometric series with bounded gaps ⋮ Analytic description of statistics of spectra of quantum graphs ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ Almost sure invariance principles for the empirical process of lacunary sequences ⋮ Variations on Salem-Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics
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