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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. Akad. Nauk SSSR Ser. Mat.,
1967
Volume 31,
Issue 6,
Pages
1271–1288
(Mi im2587)
Absolute convergence of lacunary series
V. F. Gaposhkin
Abstract:
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.
UDC:
517.5
MSC:
42A20
,
42A55
,
42C10
Received:
16.09.1966
Fulltext:
PDF file (1384 kB)
References
English version:
Mathematics of the USSR-Izvestiya, 1967,
1
:6,
1217–1234
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026
Fulltext:
PDF file (1384 kB)
