Geodesic
Absolute convergence of lacunary series
Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1217-1234.

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Zygmund's theorem on absolute convergence of lacunary trigonometric series is generalized to apply to a wider class of lacunary sequences. An analogous result is established for the Walsh system. 
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V. F. Gaposhkin. Absolute convergence of lacunary series. Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1217-1234. http://geodesic.mathdoc.fr/item/IM2_1967_1_6_a4/

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