Functions with universal Fourier-Walsh series

DOI10.1070/SM9302zbMath1447.42031OpenAlexW3017026799MaRDI QIDQ5122434

Martin G. Grigoryan

Publication date: 22 September 2020

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

Full work available at URL: https://doi.org/10.1070/sm9302

zbMATH Keywords

convergenceuniversal functionsalmost everywhere convergenceFourier-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) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (9)

On unconditional and absolute convergence of the Haar series in the metric of \(L^p[0,1\) with \(0<p<1 \)] ⋮ 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 the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ Functions universal with respect to the Walsh system ⋮ On the existence and structure of universal functions ⋮ Universal Fourier series ⋮ On universal Fourier series in the Walsh system

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