The relationship between Fourier and Laplace transform
The continuous-time Fourier transform provides us with a representation for signals as linear combinations of complex exponentials of the form $ e^{st} $ with $ s=jw $.
For s imaginary (i.e., $ s=jw $), $ X(jw)=\int_{-\infty}^{\infty}x(t){e^{-jwt}}\, dt $
