Title: 23.5 Half-Range Series
Course: HELM Workbooks 2023-2024 > Section: HELM 23: Fourier Series

In this Section we address the following problem:

Can we find a Fourier series expansion of a function defined over a finite interval?

Of course we recognise that such a function could not be periodic (as periodicity demands an infinite interval). The answer to this question is yes but we must first convert the given non-periodic function into a periodic function. There are many ways of doing this. We shall concentrate on the most useful extension to produce a so-called half-range Fourier series.