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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 604–608
DOI: https://doi.org/10.4213/mzm11697 (Mi mzm11697) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables

S. A. Telyakovskiiab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm11697
Abstract: We present a necessary and sufficient condition for the series of absolute values of blocks of Fourier series elements and blocks of series of summands in Parseval's identity to converge in the class of two-variable functions of bounded variation in the sense of Hardy.
Keywords: functions of bounded variation in two variables, Fourier coefficients, Parseval's identity.
Received: 15.05.2017
Revised: 23.09.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 645–648
DOI: https://doi.org/10.1134/S000143461803032X
Bibliographic databases:
Document Type: Article
UDC: 517.518.475
PACS: 02.30.Nw
Language: Russian
Citation: S. A. Telyakovskii, “On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables”, Mat. Zametki, 103:4 (2018), 604–608; Math. Notes, 103:4 (2018), 645–648
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Wang H. Chen Zh. Huang J., “A Novel Method For High-Frequency Non-Sinusoidal Vibration Waveforms With Uniaxial Electro-Hydraulic Shaking Table Based on Fourier Series”, J. Vib. Control, 27:21-22 (2021), 1077546320961719, 2466–2481  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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