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Dirichlet Fourier Series Conditions


A piecewise regular function that

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

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Cite this as:

Weisstein, Eric W. "Dirichlet Fourier Series Conditions." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DirichletFourierSeriesConditions.html

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