In mathematics, the Dirichlet conditions are the conditions that must be met for a function, f(x), to have a Fourier transform. Dirichlet conditions are named after Johann Peter Gustav Lejeune Dirichlet.
The conditions are:
- f(x) must be single-valued
- 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
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