Maximal sets of convergence and unbounded divergence of multiple Fourier series with \(J_k\)-lacunary sequence of partial sums

DOI10.1134/S0001434609110315zbMath1203.42012OpenAlexW2025760377MaRDI QIDQ845229

O. V. Lifantseva, Igor L. Bloshanskii

Publication date: 5 February 2010

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

Full work available at URL: https://doi.org/10.1134/s0001434609110315

zbMATH Keywords

rectangular partial sum lacunary sequence convergence set multiple trigometric Fourier series unbounded divergence set

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Cites Work

A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence

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