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$\begingroup$ The title of the question is "Contour integration over lower half of complex plane". You find the integral under consideration without any contour integration or residues. Also the question arises: how does InverseFourierTransform[1/(\[Lambda]^2 + (\[Omega]0 - \[Omega])^2), \[Omega], t, Assumptions -> t \[Element] Reals && \[Omega]0 \[Element] Reals], Assumptions -> t \[Element] Reals && \[Omega]0 \[Element] Reals] work? $\endgroup$

user64494
– user64494

2024-07-27 09:00:31 +00:00
Commented Jul 27, 2024 at 9:00

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