This article is cited in 9 papers

On convergence in the mean of Fourier series

G. A. Fomin


Abstract: Various necessary and sufficient conditions are established for the convergence of the Fourier series of a function $f(x)\in L_{2\pi}$ in the norm of the space $L_{2\pi}$ (convergence in mean with exponent $1$).
Bibliography: 16 titles.

UDC: 517.522.3

MSC: Primary 42A20; Secondary 42A32

Received: 06.02.1978

 English version: Mathematics of the USSR-Sbornik, 1981, 38:2, 231–244

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