Fourier Series

Natural & Formal Sciences Dictionary
Definition
A representation of a periodic function on an interval as a (possibly infinite) sum of sinusoidal basis functions or complex exponentials with discrete frequencies and corresponding coefficients.

Fourier Series

- Mathematics & Logic -
Pure Mathematics Dictionary
Definition
The representation of a periodic function as a (possibly infinite) sum of sines and cosines or complex exponentials whose coefficients are determined by inner products with the orthogonal exponential basis on the circle.