Fourier transforms

1. Mar 8, 2008

Niles

[SOLVED] Fourier transforms

1. The problem statement, all variables and given/known data
Please take a look at the following:

I have shown that the Fourier transform of f(t) = exp(-|t|) = $$\sqrt{\frac{2}{pi}}\cdot \frac{1}{1+\omega ^2}$$.

Now I am having trouble with question A. I know what the inverse Fourier transform is given by, but the we have an odd function (exp(iwt)) multiplied to an even function (the above). This results in an odd function, so how do I rewrite it?

2. Mar 8, 2008

Niles

Ok, I read something about the inverse Fourier transform of an even function, and it adds up now. Problem solved.