Completeness in $L^1(R)$ of discrete translates

Joaquim Bruna, Alexander Olevskii, Alexander Ulanovskii

We characterize, in terms of the Beurling-Malliavin density, the discrete spectra $\Lambda \subset \mathbb{R}$ for which a generator exists, that is a function $\varphi \in L^1(\mathbb{R})$ such that its $\Lambda$-tra…