We prove that a temperate distribution on $\mathbb{R}$ whose support and spectrum are uniformly discrete sets, can be obtained from Poisson's summation formula by a finite number of basic operations (shifts, modulations, differentiations, multiplication by polynomials, and taking linear combinations).

中文翻译：

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具有均匀离散的支撑和光谱的结晶温带分布

我们证明在 $\mathbb{[R}$ 泊松的求和公式可以通过有限数量的基本运算（移位，调制，微分，多项式相乘以及采用线性组合）来获得其支持力和频谱是均匀离散的集合。