Trigonometric series with noninteger harmonics

DOI10.1016/j.jmaa.2021.125792zbMath1479.42013arXiv2102.05698OpenAlexW3207988534MaRDI QIDQ2062578

Mikhail R. Gabdullin

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05698

zbMATH Keywords

exponential sumsuniform convergencetrigonometric series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric and exponential sums (general theory) (11L03) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

A note on derivative of sine series with square root

Cites Work

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• On the uniform convergence and boundedness of a certain class of sine series
• Trigonometric series with general monotone coefficients
• On the uniform convergence of sine series with quasimonotone coefficients
• A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
• On the uniform convergence of sine series with square root
• On large values of the Riemann zeta-function on short segments of the critical line
• On the Linear Independence of Fractional Powers of Integers
• Uniform convergence criterion for non-harmonic sine series

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