A Fourier series is the expansion of any other function in terms of the Fourier functions of sine (nx) and cosine (nx). (These can also be expressed as a combination of positive and negative exponentials.) Since these functions compose a Hilbert space...

In mathematics, the Fourier series is one of the specific forms of Fourier analysis. In particular, it allows periodic functions to be represented as a weighted sum of much simpler sinusoidal component functions sometimes referred to as normal Fourier...