Section: Gabor Analysis and non-commutative geometry

We will discuss, in which sense finite dimensional models of continuous, infinite dimensional problems over R^d can approximate (in an appropriate sense) quantities or structures of the continuous limit. This concerns the computation of norms of functions in decent function spaces, the approximation of operators (based on the kernel theorem), or the computation of eigenvalues and eigenvectors of localization operators (Gabor multipliers), as they appear in Gabor analysis.