A Quantitative Version of the Non-Abelian Idempotent Theorem |
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| Authors: | Tom Sanders |
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| Institution: | 1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, England
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| Abstract: | Suppose that G is a finite group and f is a complex-valued function on G. f induces a (left) convolution operator from L
2(G) to L
2(G) by g ? f *g{g \mapsto f \ast g} where
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f *g(z) : = \mathbbExy=zf(x)g(y) for all z ? G.f \ast g(z) := \mathbb{E}_{xy=z}f(x)g(y)\,\, {\rm for\,\,all} \, z \in G. |
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| Keywords: | |
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