$$F(w)=\int_{-\infty}^{\infty} e^{-|x|+ix}e^{-iwx} \, dx$$
Need help to compute.
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$$F.T.[e^{-|x|}\cdot e^{ix}] = \dfrac{2}{(k-1)^2+1}$$
Gregory Eritsyan
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1How was this computation done? – Dec 12 '15 at 23:20
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Use this $$\text{F.T.} [e^{-\alpha |x|} ] = \dfrac {2\cdot\alpha }{\alpha ^2 + k ^2} $$ – Gregory Eritsyan Dec 12 '15 at 23:28
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$$\dfrac{2}{(k-1)^2+1}$$Try this and it shoudl work.