Vanishing Fourier coefficients and the expression of functions in \(L^2(\mathbb{T})\) as sums of generalised differences

DOI10.1016/J.JMAA.2017.06.040zbMath1376.42006OpenAlexW2690893191MaRDI QIDQ2014106

Rodney Nillsen

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.040

zbMATH Keywords

automatic continuitymultipliergeneralised difference

Mathematics Subject Classification ID

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

Related Items (1)

Vanishing Fourier Transforms and Generalized Differences in

Cites Work

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• Translation invariant forms on \(L^ p(G)\) \((1<p<\infty)\)
• Diophantine approximation
• Difference spaces and invariant linear forms
• Banach spaces of functions and distributions characterized by singular integrals involving the Fourier transform
• Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
• Some discontinuous translation-invariant linear forms
• A Trip from Classical to Abstract Fourier Analysis

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