Geodesic
Rearrangements of Fourier--Walsh series
Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 259-275.

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In this paper a method of rearranging Fourier–Walsh series is proposed that yields an essentially stronger estimate than previously known on a Weyl multiplier for unconditional convergence almost everywhere. The question of unconditional convergence almost everywhere of Fourier–Walsh series of Hω-functions is also studied. Bibliography: 8 titles. 
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     title = {Rearrangements of {Fourier--Walsh} series},
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S. V. Bochkarev. Rearrangements of Fourier--Walsh series. Izvestiya. Mathematics , Tome 15 (1980) no. 2, pp. 259-275. https://geodesic-test.mathdoc.fr/item/IM2_1980_15_2_a2/

[1] Morgenthaler G., “Walsh–Fourier series”, Trans. Amer. Math. Soc., 84 (1957), 472–507 | DOI | MR | Zbl

[2] Billard P., “Sur la convergence presque partout des séries de Fourier–Walsh des functions de l'espace $L^2(0,1)$”, Studia Math., 28 (1967), 363–388 | MR | Zbl

[3] Aleksich G., Problemy skhodimosti ortogonalnykh ryadov, IL, M., 1963 | MR

[4] Tandori K., “Über die Divergenz der Walshschen Reihen”, Acta Sci. Math., 27 (1966), 261–263 | MR | Zbl

[5] Nakata S., “On the divergence of rearranged Walsh series”, Tohoku Math. J., 24 (1972), 275–280 | DOI | MR | Zbl

[6] Nakata S., “On the divergence of rearranged Walsh series, II”, Tohoku Math. J., 26 (1974), 407–410 | DOI | MR | Zbl

[7] Bochkarev S. V., “O mazhorante chastnykh summ dlya perestanovlennoi sistemy Uolsha”, Dokl. AN SSSR, 239:3 (1978), 509–510 | MR | Zbl

[8] Zigmund A., Trigonometricheskie ryady, t. I, II, Mir, M., 1965 | MR