# Fourier transform of $\log x$ $|x|^{s}$ and $\log|x|$

Can anyone provide or give an expression in the sense of distribution theory for the functions $|x|^{s} , \log|x|$? I mean I would like to evaluate the Fourier transform $\int_{-\infty}^{\infty}f(x)\exp(-iux)$ of these transforms in case it is possible.

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Do you want the Fourier transform of $|x|^s$ or $|x|^s\log x$? (the first is in the body, the second in the title) –  Davide Giraudo Apr 28 '12 at 10:17

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