Geodesic
Example of a Divergent Fourier Series in the Vilenkin System
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 780-787.

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We construct an example of a function from the class $Lo(\sqrt{\ln^+L})$ whose Fourier–Vilenkin series diverges almost everywhere.
Keywords: Fourier series, Vilenkin system, Walsh system, Vilenkin function, Dirichlet kernel, Rademacher function. 
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I. V. Polyakov. Example of a Divergent Fourier Series in the Vilenkin System. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 780-787. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a11/

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