A piecewise regular function which

- 1. Has a finite number of finite discontinuities and
- 2. Has a finite number of extrema

can be expanded in a Fourier Series which converges to the function at continuous points and the mean of
the Positive and Negative limits at points of discontinuity.

*See also *Fourier Series

© 1996-9 *Eric W. Weisstein *

1999-05-24