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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 functionfin thex-variable is equal to the inverse Fourier transform in the-x-variable. This is proven here:

http://www.sunlightd.com/Fourier/Duality.aspx [Broken]

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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# Homework Help: Fourier Transforms: Proving operational properties

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