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Group Convolution

The convolution of two Complex-valued functions on a Group $G$ is defined as

\begin{displaymath}
(a*b)(g) = \sum_{k\in G} a(k)b(k^{-1} g)
\end{displaymath}

where the Support (set which is not zero) of each function is finite.


References

Weinstein, A. ``Groupoids: Unifying Internal and External Symmetry.'' Not. Amer. Math. Soc. 43, 744-752, 1996.




© 1996-9 Eric W. Weisstein
1999-05-25