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Math Help - Fourier transform of besselj function

  1. #1
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    Fourier transform of besselj function

    Hi all,

    Can anybody help me to find fourier transform of zero indexed besselj function with respect to x? The besselj parameter is a*sqrt(b^2+x^2).

    Thanks a lot.
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  2. #2
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    Start with the integral representation for J_0(x). Then short-cut the calculation using distribution theory; in particular the dirac delta function.
    Last edited by ojones; April 10th 2011 at 04:23 PM.
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