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

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {V. F. Gaposhkin},
     title = {Absolute convergence of lacunary series},
     journal = {Izvestiya. Mathematics },
     pages = {1217--1234},
     publisher = {mathdoc},
     volume = {1},
     number = {6},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_6_a4/}
}
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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/