Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral

DOI10.1080/00029890.2019.1632629zbMath1422.42007arXiv1808.04313OpenAlexW2974513874WikidataQ115316141 ScholiaQ115316141MaRDI QIDQ5197497

Erik O.Talvila

Publication date: 25 September 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04313

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

Fourier transform inversion in the Alexiewicz norm ⋮ Fourier transform inversion: bounded variation, polynomial growth, Henstock-Stieltjes integration

Cites Work

• Spectral theory of ordinary differential operators
• The equality of mixed partial derivatives under weak differentiability conditions
• On the mixed derivatives of a separately twice differentiable function
• Fourier and wavelet analysis
• On the convergence of double integrals and a generalized version of Fubini's theorem on successive integration
• Inversion of Fourier and Laplace Transforms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral