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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 257–270
DOI: https://doi.org/10.4213/mzm4509 (Mi mzm4509) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh–Kaczmarz System

I. V. Polyakov

M. V. Lomonosov Moscow State University
Full-text PDF (476 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm4509
Abstract: 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, Lebesgue measure, Walsh function.
Received: 31.01.2008
Revised: 15.01.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 234–246
DOI: https://doi.org/10.1134/S0001434614010258
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. V. Polyakov, “Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh–Kaczmarz System”, Mat. Zametki, 95:2 (2014), 257–270; Math. Notes, 95:2 (2014), 234–246
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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