Based on Bohr’s equivalence relation for general Dirichlet series, in this paper we connect the families of equivalent exponential polynomials with a geometrical point of view related to lines in crystal-like structures. In particular we characterize this equivalence relation, and give an alternative proof of Bochner’s property referring to these functions, through this new geometrical perspective.

中文翻译：

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指数多项式的玻尔等价性的新几何视角

基于玻尔关于一般Dirichlet级数的等价关系，本文将等价指数多项式族与与类晶体结构中的线有关的几何观点联系起来。特别是，我们描述了这种等价关系，并通过这种新的几何角度给出了引用这些函数的Bochner性质的替代证明。