Used to recover original function from its Fourier transform. f(t)=12π∫−∞∞F(ω)eiωtdωf(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty}F(\omega)e^{i\omega t}d\omega f(t)=2π1∫−∞∞F(ω)eiωtdω Provided that the integral converges.