Examples of divergent Fourier series for classes of functions of bounded \(\Lambda \)-variation

DOI10.1134/S0001434609110042zbMath1192.42009OpenAlexW2088654461MaRDI QIDQ845190

A. N. Bakhvalov

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1134/s0001434609110042

zbMATH Keywords

harmonic variation\(\Lambda\)-variationconvergence of Fourier series over rectangles and cubesdivergent Fourier seriesfunction of boundedWaterman class of functions

Mathematics Subject Classification ID

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

Cites Work

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• Some Remarks on Functions of Λ-Bounded Variation
• Convergence and localization of multiple Fourier series for classes of bounded Λ-variation
• Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series
• Representing non-periodic functions of bounded Λ-variation by multi-dimensional Fourier integrals
• On convergence of Fourier series of functions of generalized bounded variation

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