Geodesic
Linear transforms supporting circular convolution over a commutative ring with identity
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 395-400.

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We consider a commutative ring $\operatorname R$ with identity and a positive integer $\operatorname N$. We characterize all the 3-tuples $(\operatorname L_1,\operatorname L_2,\operatorname L_3)$ of linear transforms over $\operatorname R^{\operatorname N}$, having the ``circular convolution'' pro\-perty, i.e\. such that $x\ast y=\operatorname L_3(\operatorname L_1 (x)\otimes \operatorname L_2 (y))$ for all $x,y \in \operatorname R^{\operatorname N}$.
Classification : 13B10, 15A04, 15A33, 65T50
Keywords: circular convolution property 
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     title = {Linear transforms supporting circular convolution over a commutative ring with identity},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Nessibi, M. M. Linear transforms supporting circular convolution over a commutative ring with identity. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 395-400. http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a16/