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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1985 Volume 128(170), Number 2(10), Pages 269–286 (Mi sm2127)

This article is cited in 6 papers

A continuous function with multiple Fourier series in the Walsh–Paley system that diverges almost everywhere

R. D. Getsadze


Abstract: It is proved that there exists a continuous function defined on $[0,1]k^2$ whose double Fourier–Walsh–Paley series diverges almost everywhere in the sense of Pringsheim.
Bibliography: 9 titles

UDC: 517.51

MSC: 42C10, 42B05

Received: 19.06.1984


 English version:
Mathematics of the USSR-Sbornik, 1987, 56:1, 262–278

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