Asymptotic expansions of Fourier transforms of functions with logarithmic singularities

DOI10.1016/0022-247X(78)90030-6zbMath0394.42005MaRDI QIDQ1252596

K. Appert

Publication date: 1978

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

zbMATH Keywords

Asymptotic Expansions of Fourier TransformsFunctions with Logarithmic Singularities

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Asymptotic representations in the complex plane (30E15)

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Cites Work

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• Asymptotic expansion of a class of integral transforms with algebraically dominated kernels
• Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities
• Asymptotic Expansions of Integral Transforms of Functions with Logarithmic Singularities
• Generalization of Watson's Lemma
• Adjusted Forms of the Fourier Coefficient Asymptotic Expansion and Applications in Numerical Quadrature