How do I find the inverse fourier transform of a function of the form $$\hat{f}(k)=\frac{e^{-ck}}{k},$$ with $c$ being some constant (can be complex)? The definition of the inverse fourier transform that I am using is $$f(x) = \frac{1}{2\pi} \int_{-\infty}^{\infty} e^{ikx}\hat{f}(k)\, dk$$ I have tried direct integration which has led nowhere, and I cannot come up with some function which gives this as its Fourier transform. Thanks :)
2026-03-25 19:10:55.1774465855
Inverse Fourier Transform of $e^{-ck}/k$
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