- 232

- 14

- Problem Statement
- ##f(\omega)=\frac{1}{\sqrt{2\pi}}\int_{-\infty}^{\infty}dt \ e^{-\frac{t^2}{2\sigma^2}+t(i\omega-\alpha)}cos(\Omega t)##

- Relevant Equations
- -

As this function has no singularities the residue theorem cannot be applied. Can you help me a bit?