On behavior of Fourier coefficients by Walsh system

DOI10.3103/S1068362316010039zbMath1343.42038OpenAlexW2304634365MaRDI QIDQ2630991

K. A. Navasardyan, Martin G. Grigoryan

Publication date: 28 July 2016

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/s1068362316010039

zbMATH Keywords

Walsh systemFourier coefficientsconvergence in \(L^1\)-norm

Mathematics Subject Classification ID

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

Related Items (8)

Behavior of the Fourier-Walsh coefficients of a corrected function ⋮ The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$ ⋮ Universal function for a weighted space \(L^1_{\mu}[0,1\)] ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Quasiuniversal Fourier-Walsh series for the classes \(L^p[0, 1\), \(p > 1\)] ⋮ Menshov type correction theorems for sequences of compact operators ⋮ On the structure of functions, universal for weighted spaces \(L_\mu ^p\left[ {0,1} \right,p > 1\)] ⋮ Almost everywhere convergence of greedy algorithm with respect to Vilenkin system

Cites Work

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• ON SOME PROPERTIES OF ORTHOGONAL SYSTEMS
• On Walsh series with monotone coefficients
• Series with monotone coefficients in the Walsh system

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