Title: 20.5 The Convolution Theorem
Course: HELM Workbooks 2023-2024 > Section: HELM 20: Laplace Transforms

In this Section we introduce the convolution of two functions \(f(t),\ g(t)\) which we denote by \((f*g)(t)\). The convolution is an important construct because of the convolution theorem which allows us to find the inverse Laplace transform of a product of two transformed
functions: \(\displaystyle {\cal L}^{-1}\{F(s)G(s)\}=(f*g)(t)\).