# Ugly Fourier Transform

• May 10th 2011, 06:37 AM
reza83
Ugly Fourier Transform
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.