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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 292–301
DOI: https://doi.org/10.4213/mzm10874 (Mi mzm10874) 		 
This article is cited in 6 scientific papers (total in 6 papers)

$\lambda$-Convergence of Multiple Walsh–Paley Series and Sets of Uniqueness

M. G. Plotnikov

Vologda State Dairy Farming Academy by N.V.Vereshchagin
Full-text PDF (530 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm10874
Abstract: $\lambda$-convergent multiple Walsh–Paley series on a multidimensional dyadic group are studied. It is proved that, for all $\lambda>1$, any arbitrary finite union of hyperplanes parallel to coordinate hyperplanes is a set of uniqueness for such series.
Keywords: Walsh system, dyadic group, multiple Walsh series, $\lambda$-convergence, set of uniqueness, quasi-measure.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00417
Ministry of Education and Science of the Russian Federation НШ-3682.2014.1
This work was supported by the Russian Foundation for Basic Research under grant 14-01-00417 and by the program “Leading Scientific Schools” under grant NSh-3682.2014.1.
Received: 15.05.2015
Revised: 04.07.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 268–276
DOI: https://doi.org/10.1134/S0001434617070288
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. G. Plotnikov, “$\lambda$-Convergence of Multiple Walsh–Paley Series and Sets of Uniqueness”, Mat. Zametki, 102:2 (2017), 292–301; Math. Notes, 102:2 (2017), 268–276
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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