Laplace transform
The Laplace transform of a function f(t) defined for all real numbers t ≥ 0 is the function F(s), defined by:
- F(s) = ∫0∞ e-st f(t) dt
The Laplace transform F(s) typically exists for all real numbers s > a, where a is a constant which depends on the growth behavior of f(t).
See also: Fourier transform, transfer function.