RUS
ENG
Full version
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
Fulltext:
PDF file (692 kB)
References
Cited by
English version:
Mathematics of the USSR-Sbornik, 1987,
56
:1,
262–278
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024