On the absolute convergence of Fourier series of functions of two variables in the space \(C^{1,\omega}\)

DOI10.1134/S0001434623090328zbMath1529.42008OpenAlexW4387902321MaRDI QIDQ6084921

A. V. Meleshkina, Boris S. Kashin

Publication date: 7 November 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434623090328

zbMATH Keywords

absolute convergence, classes of smooth functions, double Fourier series, modulus of continuity

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)

Cites Work

• Lectures on Fourier Integrals. (AM-42)
• Multivariate Approximation
• Special trigonometric series in 𝑘-dimensions
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