The Fourier transform of a double sided exponential function \({e^{ - \frac{1}{2}\left| t \right|}}\) is
1
\(\frac{2}{{1\; + \;4{\omega ^2}}}\)
2
\(\frac{{1\; + \;4{\omega ^2}}}{4}\)
3
\(\frac{{1\; + \;4{\omega ^2}}}{2}\)
4
\(\frac{4}{{1\; + \;4{\omega ^2}}}\)