Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums

DOI10.1007/S10476-013-0202-3zbMath1289.42011OpenAlexW2466714883MaRDI QIDQ377822

O. V. Lifantseva, Igor L. Bloshanskii

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10476-013-0202-3

zbMATH Keywords

multiple trigonometric Fourier seriespossibility of convergence almost everywhere

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (3)

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 Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Equiconvergence of the expansions in multiple series and Fourier integrals whose ``rectangular partial sums are considered with respect to certain subsequence

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