- #1
Niles
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Homework Statement
Hi all.
I wish to prove the following property of a Fourier transform:
[tex]
F(f)(x) = F^{-1}(f)(-x),
[/tex]
which means that the Fourier transform of a function f in the x-variable is equal to the inverse Fourier transform in the -x-variable. This is proven here:
http://www.sunlightd.com/Fourier/Duality.aspx
Now I wish to prove the following:
[tex]
F(f)(-x) = F^{-1}(f)(x),
[/tex]
but I cannot get started. I am not sure of what substitutions to make. Can you give me a hint?
Thanks in advance,
sincerely,
Niles.
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