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arXiv · 1704.01403

A potpourri of algebraic properties of the ring of periodic distributions

Amol Sasane
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Abstract

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.

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Amol Sasane. 2017-04-05. A potpourri of algebraic properties of the ring of periodic distributions. https://arxiv.org/abs/1704.01403

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