
Ugly Fourier Transform
Hi fellas,
Can you me help to solve this Fourier Transform?
$\displaystyle F[e^{(\frac{(kt)^2}{2})}(kt)^2\ln{((kt)^2)}]$
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: $\displaystyle \propto \min \left({\frac{1}{k},\frac{k^2\ln{k/\omega}}{\omega^3}}\right)$.
Any idea, assumption or direction for solving this problem is highly appreciated!
* $\displaystyle k$ is a real positive constant.