On the convergence of block Fourier series of functions of bounded variation in two variables

DOI10.1134/S000143461803032XzbMath1395.42015WikidataQ129975136 ScholiaQ129975136MaRDI QIDQ722191

Sergey A. Telyakovskii

Publication date: 23 July 2018

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Parseval's identitybounded variation in the sense of Hardy

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

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• Pointwise convergence of double Fourier integrals of functions of bounded variation over \(\mathbb R^2\)
• Pointwise behavior of double Fourier series of functions of bounded variation
• Refinement of the Dirichlet-Jordan and Young's theorems on Fourier series of functions of bounded variation

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