This article is cited in 6 papers

Divergent orthogonal Fourier series

K. S. Kazarian

Institute of Mathematics, Academy of Sciences of ArmSSR

Abstract: The author finds a sharp lower bound for the maximal measure of sets on which a Fourier series expansion in a uniformly bounded complete orthonormal system diverges.

UDC: 517.5

MSC: 42C10, 42C20, 42C05

Received: 17.08.1990

 English version: Mathematics of the USSR-Sbornik, 1992, 73:2, 355–377

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