Geodesic
A~continuous function with multiple Fourier series in the Walsh--Paley system that diverges almost everywhere
Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 262-278

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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 
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     author = {R. D. Getsadze},
     title = {A~continuous function with multiple {Fourier} series in the {Walsh--Paley} system that diverges almost everywhere},
     journal = {Sbornik. Mathematics},
     pages = {262--278},
     publisher = {mathdoc},
     volume = {56},
     number = {1},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1987_56_1_a15/}
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R. D. Getsadze. A~continuous function with multiple Fourier series in the Walsh--Paley system that diverges almost everywhere. Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 262-278. http://geodesic.mathdoc.fr/item/SM_1987_56_1_a15/