𝐿^{𝑝} versions of Hardy’s uncertainty principle on hyperbolic spaces

Andersen, Nils

doi:10.1090/S0002-9939-03-07006-0

$L^p$ versions of Hardy’s uncertainty principle on hyperbolic spaces
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Proc. Amer. Math. Soc. 131 (2003), 2797-2807 Request permission

Abstract:

Hardy’s uncertainty principle states that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. In this paper we prove $L^p$ versions of this principle for the Jacobi transform and for the Fourier transform on real hyperbolic spaces.

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