Some properties of general orthonormal systems

DOI10.4064/cm7857-9-2019zbMath1486.42046OpenAlexW3023083722MaRDI QIDQ5037751

Vakhtang Tsagareishvili

Publication date: 4 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7857-9-2019

zbMATH Keywords

Fourier coefficientsorthonormal systemabsolutely continuous functionsfunctions of bounded variations

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (3)

Differentiable functions and their Fourier coefficients ⋮ Properties of general Fourier coefficients of differentiable functions ⋮ The variation of general Fourier coefficients of Lipschitz class functions

Cites Work

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

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