Definition:Inverse Laplace Transform/Definition 2

Definition
Let $\map f s: S \to \C$ be a complex function, where $S \subset \C$.

The inverse Laplace transform of $f$, denoted $\map F t: \R \to S$, is defined as:

where:
 * $\PV$ is the Cauchy principal value of the integral
 * $c$ is any real constant such that all the singular points of $\map f s$ lie to the left of the line $\map \Re s = c$ in the complex $s$ plane.