Geodesic
On the extraction, from general systems, of lacunary subsystems with the absolute convergence property
Sbornik. Mathematics, Tome 39 (1981) no. 4, pp. 469-477

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This paper considers the problem of extracting lacunary subsystems from general sequences of functions. In particular, it is shown that every orthonormal system contains a Sidon subsystem. Bibliography: 7 titles. 
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     author = {R. I. Ovsepian},
     title = {On the extraction, from general systems, of lacunary subsystems with the absolute convergence property},
     journal = {Sbornik. Mathematics},
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     volume = {39},
     number = {4},
     year = {1981},
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     url = {http://geodesic.mathdoc.fr/item/SM_1981_39_4_a2/}
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R. I. Ovsepian. On the extraction, from general systems, of lacunary subsystems with the absolute convergence property. Sbornik. Mathematics, Tome 39 (1981) no. 4, pp. 469-477. http://geodesic.mathdoc.fr/item/SM_1981_39_4_a2/