On absolute and unconditional convergence of series in the general Franklin system

DOI10.1070/IM2009V073N02ABEH002446zbMATH Open1166.42015OpenAlexW2055977786MaRDI QIDQ3626984

K. A. Kerian, Gegham Gevorkian

Publication date: 14 May 2009

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2009v073n02abeh002446

zbMATH Keywords

absolute convergenceunconditional convergencegeneral Franklin system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and divergence of series and sequences of functions (40A30) General harmonic expansions, frames (42C15)

Related Items (4)

On a generalization of general Franklin system on \(R\) ⋮ On convergence of quadratic partial sums of a multiple Franklin series to infinity ⋮ On \(M^\ast\)-sets for series by Franklin system ⋮ On the Weyl multipliers for general Haar and Franklin systems

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