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Pointwise behavior of Fourier integrals of functions of bounded variation over \(\mathbb R\)

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Publication:1883356
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DOI10.1016/J.JMAA.2004.03.025zbMath1065.42008OpenAlexW2093988234MaRDI QIDQ1883356

Ferenc Móricz

Publication date: 12 October 2004

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.2004.03.025


zbMATH Keywords

uniform convergencebounded variationRiemann-Stieltjes integralFourier integralParseval formula


Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convergence and absolute convergence of Fourier and trigonometric series (42A20)


Related Items (3)

Series formed by the moduli of blocks of terms of trigonometric series. A survey ⋮ Fourier transform inversion: bounded variation, polynomial growth, Henstock-Stieltjes integration ⋮ Pointwise convergence of double Fourier integrals of functions of bounded variation over \(\mathbb R^2\)




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