Geodesic
On asymptotically best lacunary systems
Izvestiya. Mathematics, Tome 1 (1967) no. 5, pp. 967-982 
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/
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     author = {V. F. Gaposhkin},
     title = {On asymptotically best lacunary systems},
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     volume = {1},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Stechkin S. B., “O nailuchshikh lakunarnykh sistemakh funktsii”, Izv. AN SSSR. Ser. matem., 25 (1961), 357–366 | Zbl

[2] Whittle P., “Bounds for the moments of the linear and quadratic forms in independent variables”, Teoriya veroyatn. i ee prim., 5:3 (1960), 331–334 | MR

[3] Banach S., “Sur les séries lacunaires”, Bull. Acad. polon. Sci., 1933, 149–154 | Zbl

[4] Kachmazh S., Shteingauz G., Teoriya ortogonalnykh ryadov, Fizmatgiz, M., 1958 | MR

[5] Gaposhkin V. F., “Lakunarnye ryady i nezavisimye funktsii”, Uspekhi matem. nauk, XXI:6(132) (1966), 3–82

[6] Zigmund A., Trigonometricheskie ryady, GONTI, M., L., 1939