STRUCTURAL AND GEOMETRIC CHARACTERISTICS OF SETS OF CONVERGENCE AND DIVERGENCE OF MULTIPLE FOURIER SERIES OF FUNCTIONS WHICH EQUAL ZERO ON SOME SET

DOI10.1142/S0219691304000457zbMath1072.42005OpenAlexW1976024564MaRDI QIDQ5692254

Igor L. Bloshanskii

Publication date: 27 September 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691304000457

zbMATH Keywords

multiple Fourier seriesprinciple of localizationconvergence and divergence almost everywherestructural and geometric characteristics of sets

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Related Items (4)

Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Convergence and localization in Orlicz classes for multiple Walsh-Fourier series with a lacunary sequence of rectangular partial sums ⋮ A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence ⋮ Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence

Cites Work

• On convergence and growth of partial sums of Fourier series
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• Lebesgue functions and multiple function series. I
• On the divergence of multiple Fourier series

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