Numerical calculation of Fourier transforms based on hyperfunction theory

DOI10.1016/j.cam.2020.112921OpenAlexW3016517583MaRDI QIDQ2178397

Hidenori Ogata

Publication date: 11 May 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112921

zbMATH Keywords

Fourier transformhyperfunctionanalytic continuationcontinued fraction

Mathematics Subject Classification ID

Numerical methods in complex analysis (potential theory, etc.) (65E99)

Uses Software

• exflib

Cites Work

• Methods of numerical integration of oscillatory functions by the DE- formula with the Richardson extrapolation
• The double exponential formula for oscillatory functions over the half infinite interval
• Double exponential formulas for numerical integration
• A robust double exponential formula for Fourier-type integrals
• Numerical integration based on hyperfunction theory
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