Uncertainty principles on two step nilpotent Lie groups |
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| Authors: | S. K. Ray |
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| Affiliation: | (1) Stat-Math Unit, Indian Statistical Institute, 203 B.T. Road, 700 035 Kolkata, India;(2) Department of Mathematics, Indian Institute of Technology, 208 016 Kanpur, India |
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| Abstract: | We extend an uncertainty principle due to Cowling and Price to two step nilpotent Lie groups, which generalizes a classical theorem of Hardy. We also prove an analogue of Heisenberg inequality on two step nilpotent Lie groups. |
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| Keywords: | Uncertainty principles Hardy’ s theorem two step nilpotent Lie groups Heisenberg’ s inequality |
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