A quantitative version of the non-abelian idempotent theorem

Details A quantitative version of the non-abelian idempotent theorem A quantitative version of the non-abelian idempotent theorem

2009-12-02

arxiv.org/abs/0912.0308v2

Mathematics

Classical Analysis and ODEs

82 pp. Changed the title from `Indicator functions in the Fourier-Eymard algebra'. Corrected the proof of Lemma 19.1. Expanded

Scientific paper

Suppose that G is a finite group and A is a subset of G such that 1_A has
algebra norm at most M. Then 1_A is a plus/minus sum of at most L cosets of
subgroups of G, and L can be taken to be triply tower in O(M). This is a
quantitative version of the non-abelian idempotent theorem.

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