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Dirichlet Fourier Series Conditions

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