Hi fellas,

Can you me help to solve this Fourier Transform?

F[e^{(-\frac{(kt)^2}{2})}(kt)^2\ln{((kt)^2)}]

I have an answer for it, but no explanation is available. I cannot understand the method or approximation which is made to find this answer.

Answer: \propto \min \left({\frac{1}{k},\frac{k^2|\ln{k/\omega}|}{\omega^3}}\right).

Any idea, assumption or direction for solving this problem is highly appreciated!

* k is a real positive constant.