I am trying to find the F.T. of $x \log(|x|)$. Any hints?
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What is the definition of the Fourier transform? (That's my hint.) – Titus Nov 08 '15 at 09:49
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I think I can get it, via derivatives of distributions, by looking at the integral of $\sin(kx)\log(|x|)/(x)$ from 0 to infinity. However, I am not sure how to evaluate this integral. – Mathmo Nov 08 '15 at 15:59
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1@Titus Quite a lousy hint that is. – Nov 17 '15 at 05:13