how could i calculate the fourier transform(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{-\infty}^{\infty}dx \frac{e^{iux}}{(a^{2}+x^{2})^{s}} [/tex]

if i try contour integral i find 2 poles at x=a and x=_a but of order 's' wich can not be an integer, is there another definition or faster way to calculate the Fourier transform of

[tex] (a^{2}+x^{2})^{-s} [/tex] for every real a and s ??

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# Fourier transform of a function

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