Geodesic
Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 257-270.

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A new lower bound for the growth of the Dirichlet kernel for the Walsh–Kaczmarz system is obtained and an example of an almost everywhere divergent Fourier series with respect to this system from a class narrower than that examined earlier is constructed.
Keywords: Dirichlet kernel, Fourier series, Walsh–Kaczmarz system, Kaczmarz indexing, Walsh function.
Mots-clés : Lebesgue measure 
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I. V. Polyakov. Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 257-270. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a8/

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