论文标题
几乎周期性的分布和结晶措施
Almost periodic distributions and crystalline measures
论文作者
论文摘要
基于分布和度量的特性，并具有离散支持的分布和度量，我们研究了欧几里得空间上的温带几乎周期性分布以及与其傅立叶变换的联系。我们还研究了几乎周期性分布的傅立叶变换及其傅立叶系数之间的关系。本文的主要结果是在实际线上建立了晶体措施，该线既不是周期性分布，也不是傅立叶准晶体。
Based on the properties of distributions and measures with discrete support, we investigate temperate almost periodic distributions on the Euclidean space and connection with their Fourier transforms. We also study relations between the Fourier transform of almost periodic distributions and their Fourier coefficients. The main result of the article is the construction of a crystalline measure on the real line, which is neither almost periodic distribution, nor a Fourier quasicrystal.
