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Fourier Transform

  1. May 15, 2007 #1
    Prove: [tex]FT^2(f(x))=f(-x)[/tex] where [tex]FT[/tex] is the Fourier transform.

    I tried to change [tex]x[/tex] into [tex]-x'[/tex] but with no success.

    Do I need to separate cases for even f and odd f?
  2. jcsd
  3. May 15, 2007 #2


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    You just need to realize that e.g., integral(exp(i*k*t1)*exp(i*k*t2)*dk) is proportional to delta(t1+t2).
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