# Two-dimensional Laplace transform

The two-dimensional Laplace transform of a function $f$ is $$\mathscr{L}\{f\}(z_1,z_2)=\displaystyle\int_0^{\infty} \displaystyle\int_0^{\infty} e^{-z_1x-z_2y} \mathrm{d}x \mathrm{d}y.$$