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arXiv · 1104.2683

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

Bulat N. Khabibullin
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Abstract

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

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Bulat N. Khabibullin. 2011-04-14. Distribution of zero subsequences for Bernstein space and criteria of completeness for exponential system on a segment. https://arxiv.org/abs/1104.2683

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