Distribution of zero subsequences for Bernstein space and criteria of completeness for exponential system on a segment

For $\sigma \in (0,+\mathrm{\infty })$, denote by $B_{\sigma }^{\mathrm{\infty }}$ the Bernstein space (of type $\sigma$) of all entire functions of exponential type $\leq \sigma$boundedonrealaxis$\R$\mathrm{.}Let$I_d\subset \R$beasegmentoflength$d>0$. We announce complete description of non-uniqueness sequences of points for $B_{\sigma }^{\mathrm{\infty }}$ and criteria of completeness of exponential system in $C(I_d)$ or $L^p(I_d)$ to within one or two exponential functions.