On absolute convergence of series by a general Franklin system

DOI10.3103/S1068362314020010zbMath1381.42037OpenAlexW2152295211MaRDI QIDQ468060

Gegham Gevorkyan

Publication date: 5 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362314020010

zbMATH Keywords

absolute convergencegeneral Franklin system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Uniqueness and localization for orthogonal series (42C25)

Related Items (2)

The Gibbs phenomenon for general Franklin systems ⋮ On \(M^\ast\)-sets for series by Franklin system

Cites Work

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• On series by general Franklin system
• On the representation of measurable functions by martingales
• On series with respect to the Franklin system
• Projections onto piecewise linear functions
• General Franklin systems as bases in H¹[0,1]
• Unconditionality of general Franklin systems in L^p[0,1, 1<p<∞]
• Properties of the orthonormal Franklin system, II
• Properties of the orthonormal Franklin system

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