Expressions for the behavior of a Fourier transform near its singularities

DOI10.1016/0021-9991(80)90024-8zbMath0448.42007OpenAlexW2012513271MaRDI QIDQ1146837

Stephen Rice, Robert Lugannani

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90024-8

zbMATH Keywords

Fourier transformsingularitiesasymptotic expansion

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• Asymptotic expansion of a class of integral transforms with algebraically dominated kernels
• Asymptotic Expansion of Laplace Transforms Near the Origin
• Functions Whose Fourier Transforms Decay at Infinity: An Extension of the Riemann-Lebesgue Lemma
• What is the Laplace Transform?

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