Comparison between Fourier and Laplace Transform

Abstract

To present the laplace and fourier transformations with their applications. To present the comparison analysis between laplace and fourier transformation. This part of the course introduces two extremely powerful methods to solving differential equations: the Fourier and the Laplace transforms. Beside its practical use, the Fourier transform is also of fundamental importance in quantum mechanics, providing the correspondence between the position and momentum representations of the Heisenberg commutation relations.