The discrete nature of the Paley-Wiener spaces
The discrete nature of the Paley-Wiener spaces
The Shannon Sampling Theorem suggests that a function with bandwidth $\pi$ is in some way determined by its samples at the integers. In this work we make this idea precise for the functions in the Paley-Wiener space ${E^p}$. For $p > 1$, we make a modest contribution, but the basic …