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Thread: fourier transform of the bessel function

  1. September 3rd 2009, 06:50 PM #1
    Jolie
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    Unhappy fourier transform of the bessel function

    hey, everybody!

    Does anyone know how to calculate the fourier transform of

    \frac{J_1(\mid{x}\mid)}{\mid{x}\mid}


    where is the first order Bessel function of the first kind.

    Any help would be very appreciated !
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  2. September 4th 2009, 12:18 AM #2
    Jolie
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    Question may be a easier one

    To discrease the difficuty:

    who knows how to compute :

    \int_{0}^{\infty}{J_1(x)}J_0({w}{x})\exp(-jx^2)dx
    Last edited by Jolie; September 4th 2009 at 01:20 AM.
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