A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums

DOI10.1134/S0081543814040051zbMath1304.42065OpenAlexW2006906103MaRDI QIDQ483596

S. K. Bloshanskaya, Igor L. Bloshanskii

Publication date: 17 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814040051

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05)

Related Items (1)

Convergence and localization in Orlicz classes for multiple Walsh-Fourier series with a lacunary sequence of rectangular partial sums

Cites Work

• Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums
• A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence
• The Fourier-Walsh subsequence of partial sums
• Divergence almost everywhere of square partial sums of Fourier-Walsh series of integrable functions
• Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence
• On the convergence of lacunary Walsh-Fourier series
• A CONTINUOUS FUNCTION WITH MULTIPLE FOURIER SERIES IN THE WALSH-PALEY SYSTEM THAT DIVERGES ALMOST EVERYWHERE
• TWO CRITERIA FOR WEAK GENERALIZED LOCALIZATION FOR MULTIPLE TRIGONOMETRIC FOURIER SERIES OF FUNCTIONS IN $L_p$, $p \ge 1$
• Generalized localization for the multiple Walsh-Fourier series of functions in $ L_p$, $ p\geqslant 1$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A weak generalized localization criterion for multiple Walsh-Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums