Fourier transform inversion in the Alexiewicz norm

DOI10.7153/JCA-2021-19-07zbMath1499.42031arXiv2202.01359OpenAlexW4293127340MaRDI QIDQ5078351

Erik O.Talvila

Publication date: 23 May 2022

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01359

zbMATH Keywords

Fourier transformLebesgue spaceinversionLebesgue integralAlexiewicz norm

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Fourier series with the continuous primitive integral
• Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral
• Linear functionals on Denjoy-integrable functions

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