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 
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/
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     title = {A~continuous function with multiple {Fourier} series in the {Walsh{\textendash}Paley} system that diverges almost everywhere},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[6] Billard P., “Sur la convergence presque partout des series de Fourier–Walsh des fonctions de l'espace $L^2\bigl([0, 1]\bigr)$”, Studia Math., 28 (1966–1967), 363–388 | MR

[7] Fefferman C., “On the divergence of multiple Fourier series”, Bull. Amer. Math. Soc., 77:2 (1971), 191–195 | DOI | MR | Zbl

[8] Fine N. J., “On the Walsh functions”, Trans. Amer. Math. Soc., 65:3 (1949), 372–414 | DOI | MR | Zbl

[9] Getsadze R. D., “Nepreryvnaya funktsiya s raskhodyaschimsya pochti vsyudu kratnym ryadom Fure po sisteme Uolsha–Peli”, Soobsch. AN GSSR, 108:3 (1982), 497–500 | MR