Asymptotic decay of Fourier, Laplace and other integral transforms

DOI10.1016/j.jmaa.2019.123560zbMath1428.42006OpenAlexW2977360730MaRDI QIDQ2009297

Enrico Laeng, Luigi Fontana, Leonardo Colzani

Publication date: 28 November 2019

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.2019.123560

zbMATH Keywords

Fourier transformLaplace transformintegral transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Functions of bounded variation, generalizations (26A45)

Related Items (1)

Weighted Hankel transform and its applications to Fourier transform

Cites Work

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• Extended solution of Boas' conjecture on Fourier transforms
• Average decay of Fourier transforms and geometry of convex sets
• Pitt inequalities and restriction theorems for the Fourier transform
• Functions of bounded variation and their Fourier transforms
• The Fourier transform of a function of bounded variation: symmetry and asymmetry
• The Boas problem on Hankel transforms
• Integrability spaces for the Fourier transform of a function of bounded variation
• The Fourier Transforms of General Monotone Functions
• A quantitative Riemann-Lebesgue lemma with application to equations with memory
• Weighted Fourier Transform Inequalities for Radially Decreasing Functions
• Weighted norm inequalities for integral transforms
• Decay of the Fourier Transform

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