# Fourier representation

Fourier series representation

The representation of a function (or other suitable object) $f$ by means of a Fourier series, especially a trigonometric series:

$$f(x)=\sum_{k=-\infty}^\infty c_ke^{ikx}.$$

How to Cite This Entry:
Fourier representation. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Fourier_representation&oldid=32740