Jorge Antezana

In this talk we will discuss some results related to the sampling of functions in Paley Wiener space. We will start by analyzing whether it is possible to sample near the theoretical critical density given by Landau's theorem. Then we will focus on the frame bounds, since they are very important to guarantee a stable reconstruction of the signal from the samples. In this direction, we will analyze whether it is possible to obtain "good" frame bounds with a density near to the critical one.