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

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. "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

Published: december 2018
First available in Project Euclid: 18 January 2019

zbMATH: 07038551
MathSciNet: MR3901845
Digital Object Identifier: 10.36045/bbms/1547780434

Subjects:
Primary: 46H99
Secondary: 13J99

Rights: Copyright © 2018 The Belgian Mathematical Society

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Vol.25 • No. 5 • december 2018
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