Abstract. The uncertainty principle in R n says that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. A quantitative assertion of this principle is Hardy’s theorem. In this article we prove various generalisations of Hardy’s theorem for Riemannian symmetric spaces of the noncompact type. In the case of the real line these results were obtained by Morgan and Cowling-Price. 1
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.