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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1972 Volume 36, Issue 2, Pages 401–422 (Mi im2302)
This article is cited in 1 paper

Composite functions and their series in the Faber–Schauder system

T. N. Saburova


Abstract: We obtain both necessary conditions and sufficient conditions for the absolute convergence of the series of Fourier coefficients with respect to the Faber–Schauder system for composite functions of various classes.

UDC: 517.5

MSC: Primary 42A56; Secondary 42A28

Received: 20.04.1971


 English version: Mathematics of the USSR-Izvestiya, 1972, 6:2, 395–415

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