Geodesic
On asymptotically best lacunary systems
Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 967-982

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Asymptotically best lacunary systems are introduced and investigated. Best lacunary subsystems (in the sense of $({}^1)$) for the trigonometric system and the Walsh system are also investigated. 
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     author = {V. F. Gaposhkin},
     title = {On asymptotically best lacunary systems},
     journal = {Izvestiya. Mathematics },
     pages = {967--982},
     publisher = {mathdoc},
     volume = {1},
     number = {5},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a3/}
}
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V. F. Gaposhkin. On asymptotically best lacunary systems. Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 967-982. http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a3/