Does somebody know how to evaluate $$\int_{\mathbb{R}^n}\frac{e^{i\langle\xi,x\rangle}}{\|\xi\|_2^2}d\xi$$ for some given $x\in\mathbb{R}^n$ and $n\in\{1,2,3\}$?
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Do you know how to do it for the case $n=1$? – Mhenni Benghorbal Jan 28 '15 at 01:08
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Unfortunately, the linked answer does not give much detailed insight in how to compute this integral - or I just don't understand it. – JohnSmith Jan 28 '15 at 01:15