Title:
Discrete Translates in Function Spaces
Abstract:
Let $X$ be a Banach function space on R. Does there exist a
function $f \in X$ and a uniformly discrete sequence $\Lambda \subset \mathbb{R}$ such that
the family of translates
\[{f(t - \lambda)}, \lambda \in \Lambda,\] spans the whole space X? I will present a survey on the subject and discuss the last results joint with Alexander Ulanovskii. |