The central limit theorem for lacunary series

Fukuyama, Katusi; Takahashi, Shigeru

doi:10.1090/S0002-9939-99-04541-4

The central limit theorem for lacunary series
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by Katusi Fukuyama and Shigeru Takahashi PDF

Proc. Amer. Math. Soc. 127 (1999), 599-608 Request permission

Abstract:

In this paper, the central limit theorem for lacunary trigonometric series is proved. Two gap conditions by Erdős and Takahashi are extended and unified. The criterion for the Fourier character of lacunary series is also given.

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