Dirichlet–Jordan test
In mathematics, the Dirichlet conditions are sufficient conditions for a periodic function f(x), to have a Fourier series representation or to posess a Fourier Transform. These conditions are named after Johann Peter Gustav Lejeune Dirichlet.
The conditions are:
- f(x) must have a finite number of extrema in any given interval
- f(x) must have a finite number of discontinuities in any given interval
- f(x) must be absolutely integrable over a period.