The *Laplace transform* of a function $f$ on a suitable affine space is the result of an integration of the form

$\hat f(a) \coloneqq \int f(x) e^{- x a} \, d x
\,,$

when defined.

For imaginary numbers $a$, this is the *Fourier transform*. If $a$ is allowed to be a complex number, this is also called the *Fourier-Laplace transform*.

- Wikipedia,
*Laplace transform*

Created on October 31, 2017 at 09:15:55. See the history of this page for a list of all contributions to it.