Universal Fourier series

DOI10.1134/S0001434620070299zbMath1446.42039OpenAlexW3047397215MaRDI QIDQ5918929

Martin G. Grigoryan

Publication date: 31 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620070299

zbMATH Keywords

convergenceFourier seriesuniversal functionalmost everywhere

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (6)

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 almost universal double Fourier series ⋮ On Fourier series in the multiple trigonometric system ⋮ On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ On the existence and structure of universal functions

Cites Work

• Unnamed Item
• On the universal function for the class \(L^{p}[0,1\), \(p\in (0,1)\)]
• On the universal functions
• On the universal function for weighted spaces \(L^p_{\mu}[0,1, p\geq1\)]
• On the universal and strong \((L^1,L^\infty)\)-property related to Fourier-Walsh series
• 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

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