Are there any elementary examples of transforms whose "time-domain" is the cyclic group $\mathbb{Z}/n\mathbb{Z}$?
2026-03-27 01:43:44.1774575824
Transforms in cyclic group $\mathbb{Z}/n\mathbb{Z}$
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You can do Fourier analysis on any locally compact abelian group. For instance, a Gauss sum is one example of a Fourier transform on $\mathbf Z/n\mathbf Z$. You could replace the Dirichlet character by any function.