Bernstein空间的零连续分布与线段上指数系的完备性准则
Distribution of zero subsequences for Bernstein space and criteria of completeness for exponential system on a segment
摘要：
对于$σ\in (0,+\infty)$，用$B_σ^{\infty}$表示在实轴$\R$上有界的所有指数型$\leq σ$整函数的伯恩斯坦空间（$σ$型）。令$I_d\subset \R$是长度为$d>0$的段。给出了$B_σ^\infty$的非唯一点列的完整刻画和$C(I_d)$或$L^p(I_d)$中指数系在一个或两个指数函数内完备的判别准则.
英文摘要：
For $σ\in (0,+\infty)$, denote by $B_σ^{\infty}$ the Bernstein space (of type $σ$) of all entire functions of exponential type $\leq σ$ 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 $B_σ^\infty$ 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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