An uncertainty inequality for finite abelian groups

Details An uncertainty inequality for finite abelian groups An uncertainty inequality for finite abelian groups

2003-12-22

arxiv.org/abs/math/0312407v1

Mathematics

Combinatorics

7 pages, no figures

Scientific paper

Let G be a finite abelian group of order n. For a complex valued function f on G, let \fht denote the Fourier transform of f. The uncertainty inequality asserts that if f \neq 0 then |supp(f)| |supp(\fht)| \geq n. Answering a question of Terence Tao, the following improvement of the classical inequality is shown: Let d_1

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