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

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    Question 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!
    Last edited by Jolie; September 3rd 2009 at 06:53 PM.
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