# Math Help - fourier transform of the product of the bessel function and a exponential function

1. ## fourier transform of the product of the bessel function and a exponential function

hey, everybody!

Does any one know how to calculate the fourier transform of

$\frac{J_{1}(\mid{x}\mid)}{\mid{x}\mid}\exp(-\mid{x}\mid^2)$

where $J_{1}(\mid{x}\mid)$ is the first order Bessel function of the first kind.

I would be very appreciated for all your help!