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Group Convolution

The convolution of two complex-valued functions on a group G is defined as

(a*b)(g)=sum_(k in G)a(k)b(k^(-1)g)

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

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References

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

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Group Convolution

Cite this as:

Weisstein, Eric W. "Group Convolution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GroupConvolution.html

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