Abstract:We consider a commutative ring $R$ with identity and a positive integer $N$. We characterize all the 3-tuples $(L_1,L_2,L_3)$ of linear transforms over $R^{N}$, having the ``circular convolution'' property, i.e. such that $x\ast y=L_3(L_1 (x)\otimes L_2 (y))$ for all $x,y \in R^{N}$.
Keywords: circular convolution property
AMS Subject Classification: 15A04