On Fourier series that are universal modulo signs

DOI10.4064/sm180628-15-10zbMath1426.42003OpenAlexW2967940564MaRDI QIDQ5237156

Levon N. Galoyan, Martin G. Grigoryan

Publication date: 16 October 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm180628-15-10

zbMATH Keywords

densityRudin-Shapiro polynomialsFourier coefficientsuniversal seriesa.e. convergencetrigonometric Fourier series

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Functions universal with respect to the Walsh system ⋮ On the existence and structure of universal functions ⋮ Unnamed Item ⋮ Universal Fourier series

Cites Work

• On the universal function for the class \(L^{p}[0,1\), \(p\in (0,1)\)]
• On the existence of universal series by trigonometric system
• Limits of indeterminacy of trigonometric series
• Universal function for a weighted space \(L^1_{\mu}[0,1\)]
• Trigonometric series with rapidly decreasing coefficients
• The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$
• ON CONVERGENCE OF FOURIER SERIES IN COMPLETE ORTHONORMAL SYSTEMS IN THE $ L^1$-METRIC AND ALMOST EVERYWHERE
• Trigonometric series with positive partial sums
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