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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 4, Pages 469–477
DOI: https://doi.org/10.1070/SM1981v039n04ABEH001381 (Mi sm2656) 		 
On the extraction, from general systems, of lacunary subsystems with the absolute convergence property

R. I. Ovsepian
English version PDF (534 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1981v039n04ABEH001381
Abstract: 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.
Received: 29.09.1978
Bibliographic databases:
UDC: 517.5
MSC: 42C15, 42A55
Language: English
Original paper language: Russian
Citation: R. I. Ovsepian, “On the extraction, from general systems, of lacunary subsystems with the absolute convergence property”, Math. USSR-Sb., 39:4 (1981), 469–477
Citation in format AMSBIB
\Bibitem{Ovs80}
\by R.~I.~Ovsepian
\paper On the extraction, from general systems, of lacunary subsystems with the absolute convergence property
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 4
\pages 469--477
\mathnet{http://mi.mathnet.ru//eng/sm2656}
\crossref{https://doi.org/10.1070/SM1981v039n04ABEH001381}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=571982}
\zmath{https://zbmath.org/?q=an:0509.42035|0454.42012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981ML42400003}
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    Abstract page:223
    Russian version PDF:79
    English version PDF:6
    References:37
     
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