That's what I meant r=\sigma. I typed it in two different ways and I had them mixed up :/
And omitting the 1/sqrt(2 pi) gives me:
\sqrt{\frac{\pi}{2 \sigma^2}}e^{-(\frac{\sigma^2 \omega^2}{2}+\sigma^2 i \omega)}
They have the sigma in the numerator some how.
Homework Statement
I am looking at finding the Fourier transform of:
f(t)=\exp \left[ \frac{-(t-m)^2}{2 \sigma^2}\right] Homework Equations
\hat{f}(t)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{\infty} f(t) e^{-i \omega t} dt
The Attempt at a Solution
I did it a little differently that my...