A new sampling density condition for shift-invariant spaces

A. Antony Selvan

Let $X=\{x_i:i\in \mathbb{Z}\}$, $\cdots <x_{i-1}<x_i<x_{i+1}<\dots$, be a sampling set which is separated by a constant $\gamma >0$. Under certain conditions on $\varphi$, it is proved that if t…