Sampling and interpolation of bandlimited functions
Han Huili, Liu Hua · Complex Variables and Elliptic Equations · 2019
In this article, we discuss the Lagrange interpolation of the entire functions on the real line, which is motivated by the sampling theory. We first define the uniform distribution of interpolation (sampling) nodes. Then we prove that the sampled signal (or function interpolated) can be reconstructed from the sampling (or interpolation) for some bandlimited entire functions