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• W2007019061 abstract "Let G be a finite abelian group. If f : G → C is a nonzero function with Fourier transform f ˆ , the classical uncertainty principle states that | supp ( f ) | | supp ( f ˆ ) | ⩾ | G | . Recently, Tao showed that, if G is cyclic of prime order p , then in fact a stronger inequality | supp ( f ) | + | supp ( f ˆ ) | ⩾ p + 1 holds. In this paper, we use representation theory of the unitary group and Weyl’s character formula to derive a generalization of Tao’s result for arbitrary finite cyclic groups." @default.
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• W2007019061 date "2012-07-01" @default.
• W2007019061 modified "2023-09-24" @default.
• W2007019061 title "The uncertainty principle and a generalization of a theorem of Tao" @default.
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• W2007019061 doi "https://doi.org/10.1016/j.laa.2012.02.009" @default.
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