(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How do I use the [itex](FF(f))(x)=2\pi f(-x)[/itex] where [itex]F[/itex] is the Fourier transform.

and [itex]F(f(x-a))(k)=\exp(-ika) X(k)[/itex] where [itex]X(k)=F(f(x))[/itex]

to get [itex]F(\exp(iax)f(x))(k)=X(k-a)[/itex]

2. Relevant equations

Please see above.

3. The attempt at a solution

The variables confuse me. I can do it by brute force plugging and chugging but I really don't see how to do it using the duality property...

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# Homework Help: Duality and Fourier Transform

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