On the order of rational Fourier coefficients of various bounded variations

DOI10.1080/17476933.2012.712967zbMath1291.42006OpenAlexW2057115809MaRDI QIDQ2862988

Chao-Ying Zhou, Li-Hui Tan

Publication date: 20 November 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.712967

zbMATH Keywords

\(\Lambda\)-bounded variation\(\Phi\)-bounded variationrational Fourier coefficient\(\Phi-\Lambda\)-bounded variationfunctions of \(p\)-bounded variation

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

A note on multiple rational Fourier series ⋮ Properties of rational Fourier series and generalized Wiener class

Cites Work

• Rational orthogonal bases satisfying the Bedrosian identity
• Adaptive Fourier series---a variation of greedy algorithm
• Generalized Fourier and Toeplitz Results for Rational Orthonormal Bases
• Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase
• On the uniform approximation of discrete-time systems by generalized Fourier series
• Fourier series of functions of bounded variation
• The order of Fourier coefficients of function of higher variation

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