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Fourier Transform - Scaling Property

  1. Apr 9, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the fourier transform of (1/p)e^{[(-pi*x^2)/p^2]} for any p > 0

    2. Relevant equations

    The fourier transform of e^{-pi*x^2} is e^{-pi*u^2}.

    The scaling property is given to be f(px) ----> (1/p)f(u/p)

    3. The attempt at a solution

    Using the information above, I got p*e^{(-pi*u^2)/p}.
    On another attempt, I got e^{-pi*p^2 * u^2}.
    I am not sure if either one of these is correct. I have a hard time following the scaling property.
    Last edited by a moderator: Apr 10, 2013
  2. jcsd
  3. Apr 10, 2013 #2


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    We can't tell where you're going wrong if you don't show your work. Posting your final results is virtually useless.
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