On the magnitude of Fourier coefficients with respect to the character system of \(\mathbb Z_p\)

DOI10.1134/S2070046622040057zbMath1506.42003OpenAlexW4311121944MaRDI QIDQ2111487

A. N. Mingachev, Sergey S. Volosivets

Publication date: 16 January 2023

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046622040057

zbMATH Keywords

generalized Hölder spaces\(\Lambda\)-\(q\)-fluctuationbounded \(q\)-fluctuation spacesFourier coefficients with respect to the character system of \(\mathbb Z_p\)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) 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

• Gibbs phenomenon for Fourier partial sums on \(\mathbb{Z}_p\)
• Approximation of functions of bounded \(p\)-fluctuation by polynomials with respect to multiplicative systems
• On the magnitude of Vilenkin-Fourier coefficients
• Note on Fourier series on the p-adic integers
• Uniform convergence of Fourier series on groups. I
• On multiple Walsh-Fourier coefficients of functions of \(\varphi-\Lambda\) -bounded variation
• On the Magnitude of Fourier Coefficients
• Fourier Analysis on Local Fields. (MN-15)
• On a class of complete orthonormal systems
• The order of Fourier coefficients of function of higher variation
• On the Walsh Functions
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