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The heat kernel and Hardy’s theorem on symmetric spaces of noncompact type |
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| Authors: | E. K. Narayanan S. K. Ray |
| Affiliation: | (1) Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, 560 059 Bangalore, India;(2) Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016 Kanpur, India;(3) Present address: Math. and Comp. Sci. Dept., Bar-Ilan University, 52900 Ramat-Gan, Israel |
| Abstract: | For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which characterizes the heat kernel in terms of its order of magnitude and that of its Fourier transform. |
| Keywords: | Hardy’ s theorem uncertainty principles symmetric spaces |
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