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- W2617366192 abstract "We investigate the asymptotic behavior of sums $$sum _{k=1}^N f(n_kx)$$ , where f is a mean zero, smooth periodic function on $$mathbb {R}$$ and $$(n_k)_{kge 1}$$ is a random sequence such that the gaps $$n_{k+1}-n_k$$ are i.i.d. Our result shows that, in contrast to the classical Salem–Zygmund theory, the almost sure behavior of lacunary series with random gaps can be described very precisely without any assumption on the size of the gaps." @default.
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- W2617366192 date "2017-05-26" @default.
- W2617366192 modified "2023-09-24" @default.
- W2617366192 title "Strong approximation of lacunary series with random gaps" @default.
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- W2617366192 doi "https://doi.org/10.1007/s00605-017-1059-5" @default.
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