On the existence and structure of universal functions

DOI10.1134/S1064562421010051zbMath1477.42028OpenAlexW3177639533MaRDI QIDQ2243840

Martin G. Grigoryan

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562421010051

zbMATH Keywords

universal functionsconvergence almost everywhereFourier-Walsh series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (4)

On Fourier series almost universal in the class of measurable functions ⋮ On the existence and structure of universal functions for weighted spaces \(L^1_\mu [0,1\)] ⋮ On almost universal double Fourier series ⋮ On universal Fourier series in the Walsh system

Cites Work

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• The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$
• Functions with universal Fourier-Walsh series
• On Fourier series that are universal modulo signs
• Universal Fourier series

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