Quasiuniversal Fourier-Walsh series for the classes \(L^p[0, 1]\), \(p > 1\)

DOI10.1134/S0001434618070295zbMath1409.42021OpenAlexW2895092240MaRDI QIDQ1991798

Artsrun Sargsyan

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070295

zbMATH Keywords

\(L^p\)-convergenceWalsh systemFourier coefficientsuniversal series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (3)

On the existence and structure of universal functions for weighted spaces \(L^1_\mu [0,1\)] ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions

Cites Work

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• On orthogonal series universal in \(L^p_{[0,1},p>0\)]
• Existence of universal series by the Walsh system
• On null-series by double Walsh system
• On behavior of Fourier coefficients by Walsh system
• Sequences of derivatives and normal families
• A class of generalized Walsh functions
• Mean Convergence of Generalized Walsh-Fourier Series
• On the representation of functions by orthogonal series in weighted $L^p$ spaces
• On Walsh series with monotone coefficients
• REPRESENTATION OF FUNCTIONS BY SERIES AND CLASSES ϕ(L)
• Series with monotone coefficients in the Walsh system

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