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- W2009505312 abstract "Let G be a finite abelian group of order n. For a complex valued function f on G let f̂ denote the Fourier transform of f. The classical uncertainty inequality asserts that if f≠0 then (1)|supp(f)|⋅|supp(f̂)|≥|G|. Answering a question of Terence Tao, the following improvement of (1) is shown: Theorem. Let d1<d2 be two consecutive divisors of n. If d1≤k=|supp(f)|≤d2 then|supp(f̂)|≥nd1d2(d1+d2−k)." @default.
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- W2009505312 date "2006-01-01" @default.
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- W2009505312 title "An uncertainty inequality for finite abelian groups" @default.
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- W2009505312 doi "https://doi.org/10.1016/j.ejc.2004.07.009" @default.
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