𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups

Narayanan, E.; Ray, S.

doi:10.1090/S0002-9939-02-06272-X

$L^p$ version of Hardy’s theorem on semisimple Lie groups
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by E. K. Narayanan and S. K. Ray PDF

Proc. Amer. Math. Soc. 130 (2002), 1859-1866 Request permission

Abstract:

We prove an analogue of the $L^p$ version of Hardy’s theorem on semisimple Lie groups. The theorem says that on a semisimple Lie group, a function and its Fourier transform cannot decay very rapidly on an average.

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