On the divergence of Fourier series of functions in several variables

DOI10.1007/s10476-013-0301-1zbMath1289.42027OpenAlexW123435068MaRDI QIDQ377828

L. D. Gogoladze, Vakhtang Tsagareishvili

Publication date: 7 November 2013

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-013-0301-1

zbMATH Keywords

absolute convergence of the Fourier series depending on the number of variablesmultivariable functions with continuous partial derivatives

Mathematics Subject Classification ID

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

Related Items (3)

On the absolute convergence of Fourier series with respect to general orthonormal systems ⋮ Some properties of an odd-dimensional space ⋮ General Fourier coefficients for Lip \(\alpha\) class functions

Cites Work

• The absolute convergence of the Fourier-Haar series for two-dimensional functions
• Properties of the orthonormal Franklin system
• On Absolute Convergence of Multiple Fourier Series
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