Trigonometric Fourier series and Walsh-Fourier series with lacunary sequence of partial sums

DOI10.1134/S0001434613010367zbMath1272.42017OpenAlexW2092205589MaRDI QIDQ1947802

O. V. Lifantseva, S. K. Bloshanskaya, Igor L. Bloshanskii

Publication date: 26 April 2013

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

Full work available at URL: https://doi.org/10.1134/s0001434613010367

zbMATH Keywords

Walsh-Paley systemmultiple Fourier seriesLebesgue measureWalsh-Fourier serieslacunary sequence of partial sums

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

• 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
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• On the Divergence of Fourier Series
• TWO CRITERIA FOR WEAK GENERALIZED LOCALIZATION FOR MULTIPLE TRIGONOMETRIC FOURIER SERIES OF FUNCTIONS IN $L_p$, $p \ge 1$
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