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is ist possible to find the Fourier transform (direct and inverse ) of

$ f(x)= \frac{1}{|x|^{k}} $ for $ k=1,2,3,......$

this function has a severe singularity at $x=0$ so i think this will exists only in the sense of distributions :)

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    It's also in the table of distributions in [Wikipedia](http://en.wikipedia.org/wiki/Fourier_transform#Distributions).2013-07-27

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