Jubilee 2019

Alexander Olevskii

Tel Aviv University

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.


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