Motivation for signal spaces. Banach and Hilbert spaces of continuous- and discrete-time signals. Spaces of continuous and not necessarily continuous signals. The four Fourier transforms: continuous-discrete Fourier transform; continuous-continuous Fourier transform; discrete-continuous Fourier transform; discrete-discrete Fourier transform. Transform inversion using Fourier series and Fourier integrals. (28/0/0/14/0)