Absolute convergence of multiple series with respect to multiplicative systems

DOI10.1007/S10476-010-0205-2zbMath1274.42072OpenAlexW41287454MaRDI QIDQ1945267

Boris I. Golubov, Sergey S. Volosivets

Publication date: 5 April 2013

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

Full work available at URL: https://doi.org/10.1007/s10476-010-0205-2

zbMATH Keywords

absolute convergencemultiple Fourier-Vilenkin series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Generalized absolute convergence of single and double series in multiplicative systems ⋮ Generalized absolute convergence of single and double Fourier series with respect to multiplicative systems

Cites Work

• Approximation by double Walsh polynomials
• The modulus of continuity and the best approximation over the dyadic group
• Martingale Hardy spaces and their applications in Fourier analysis
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
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