Some properties of general Fourier coefficients of Lipschitz functions

DOI10.1007/s10476-020-0064-4zbMath1488.42127OpenAlexW3118892871MaRDI QIDQ822625

Vakhtang Tsagareishvili

Publication date: 22 September 2021

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

Full work available at URL: https://doi.org/10.1007/s10476-020-0064-4

zbMATH Keywords

Banach spaceFourier coefficientorthonormal systemLipschitz class

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)

Cites Work

• On the absolute convergence of Fourier series with respect to general orthonormal systems
• Fourier coefficients of continuous functions
• Absolute convergence of Fourier series of functions of class $ \operatorname{Lip}1$ and of functions of bounded variation
• Summability of general Fourier series
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