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.
Citation
Amol Sasane. "A potpourri of algebraic properties of the ring of periodic distributions." Bull. Belg. Math. Soc. Simon Stevin 25 (5) 755 - 776, december 2018. https://doi.org/10.36045/bbms/1547780434
Information