周期分布环的代数性质
A potpourri of algebraic properties of the ring of periodic distributions
摘要：
周期性分布的集合通过通常的加法和卷积形成环，该环通过采用傅里叶级数展开同构于具有逐项运算的至多多项式增长的序列的环${\mathcal{S}}'({\mathbb{Z}}^d)$。在这篇文章中，我们建立了这些环的几个代数性质。
英文摘要：
The set of periodic distributions, with usual addition and convolution, forms a ring, which is isomorphic, via taking a Fourier series expansion, to the ring ${\mathcal{S}}'({\mathbb{Z}}^d)$ of sequences of at most polynomial growth with termwise operations. In this article, we establish several algebraic properties of these rings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
