On Haar series of \(A\)-integrable functions

DOI10.3103/S1068362317030062zbMath1373.42031OpenAlexW2750757749MaRDI QIDQ2014568

K. A. Navasardyan, Gegham Gevorkyan

Publication date: 25 August 2017

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/s1068362317030062

zbMATH Keywords

Haar systemalmost everywhere convergence\(A\)-integration

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other transformations of harmonic type (42C20)

Related Items (2)

A uniqueness theorem for multiple orthonormal spline series ⋮ A uniqueness theorem for Franklin series

Cites Work

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• A generalization of a theorem of L. A. Balashov on subseries of the Fourier-Haar series.
• Majorants and uniqueness of series in the Franklin system
• On the reconstruction of the coefficients of series from some orthogonal systems of functions.
• On uniqueness of additive functions of dyadic cubes and series by Haar systems
• On the integrability of the martingale square function
• Extrapolation and interpolation of quasi-linear operators on martingales

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