On certain conditions in the theory of series with respect to multiplicative systems

DOI10.1007/s10476-007-0303-yzbMath1135.42305OpenAlexW1989262929MaRDI QIDQ925147

Sergey S. Volosivets

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1007/s10476-007-0303-y

zbMATH Keywords

seriesmultiplicative systems

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

Weighted integrability of double series with respect to multiplicative systems ⋮ On Hardy and Bellman transforms of series with respect to multiplicative systems in symmetric spaces ⋮ Multiplicative convolutions of functions from Lorentz spaces and convergence of series of Fourier-Vilenkin coefficients ⋮ Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems ⋮ The weighted \(L^1\)-integrability of functions and the Parseval equality with respect to multiplicative systems ⋮ Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces

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