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- W4299553786 abstract "Given a periodic function $f$, we study the almost everywhere and norm convergence of series $sum_{k=1}^infty c_k f(kx)$. As the classical theory shows, the behavior of such series is determined by a combination of analytic and number theoretic factors, but precise results exist only in a few special cases. In this paper we use connections with orthogonal function theory and GCD sums to prove several new results, improve old ones and also to simplify and unify the theory." @default.
- W4299553786 created "2022-10-02" @default.
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- W4299553786 date "2012-05-07" @default.
- W4299553786 modified "2023-09-26" @default.
- W4299553786 title "On series of dilated functions" @default.
- W4299553786 doi "https://doi.org/10.48550/arxiv.1205.1326" @default.
- W4299553786 hasPublicationYear "2012" @default.
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