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- W2120653246 abstract "A theorem due to Hardy states that, if f is a function on R such that | f ( x ) | ⩽ C e − α | x | 2 for all x in R and | f ^ ( ξ ) | ⩽ C e - β | ( ξ ) | 2 for all ξ in R, where α > 0, β > 0, and αβ > 1/4, then f = 0. A version of this celebrated theorem is proved for two classes of Lie groups: two-step nilpotent Lie groups and harmonic NA groups, the latter being a generalisation of noncompact rank-1 symmetric spaces. In the first case the group Fourier transformation is considered; in the second case an analogue of the Helgason–Fourier transformation for symmetric spaces is considered." @default.
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- W2120653246 date "2000-10-01" @default.
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- W2120653246 title "Hardy's Uncertainty Principle on Certain Lie Groups" @default.
- W2120653246 doi "https://doi.org/10.1112/s0024610700001186" @default.
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