: Mathématiques: Laplace transform

mathematical analysis > functional analysis > operator > integral transform > Laplace transform

mathematical analysis > functional analysis > transformation > integral transform > Laplace transform

Laplace transform

In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace, is an integral transform that converts a function of a real variable (usually t, in the time domain) to a function of a complex variable s (in the complex frequency domain, also known as s-domain, or s-plane). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms ordinary differential equations into algebraic equations and convolution into multiplication.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Laplace_transform)

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