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Re: FFT in Mathematica

Thanks a lot for ur very useful suggestions.
well sorry for saying "FFT" but i actually meant the fourier Transform in analytical way and not in nummeric way.
i plotted the FourierTransform of the function according to this:

Plot[FourierTransform[(1/(4*(Pi*1*t)^(3/2)))*Exp[-(3)/(4*1*t)], t, 
   f] // Abs, {f, 0, 100}]

but i actually got a very weird plot which does not make sense for the frequency.It produces a function in exponential behave.
where should be the mistake??!
maybe in the solution of the FourierTransform i got?  :

((-1 + Sign[f]) Sinh[
  Sqrt[Abs[f]] Root[9 + #1^4 &, 4]])/(2 Sqrt[6] \[Pi]^(3/2))

Thanks in Advance

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