ABSTRACT
IN THIS CHAPTER WE PROVIDE a glimpse into more general notions for generalized Fourier series and the convergence of Fourier series. It is useful to think about the general context in which one finds oneself when discussing Fourier series and transforms. We can view the sine and cosine functions in the Fourier trigonometric series representations as basis vectors in an infinite dimensional function space. A given function in that space may then be represented as a linear combination over this infinite basis.
