Parui, S. ; Thangavelu, S. (2009) Variations on a theorem of cowling and price with applications to nilpotent Lie groups Journal of the Australian Mathematical Society, 82 (01). pp. 11-27. ISSN 1446-7887
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Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1017/S1446788700017444
Abstract
In this paper we prove a new version of the Cowlin-Price theorem for Fourier transforms on Rn. Using this we formulate and prove an uncertainty principle for operators. This leads to an analogue of the Cowling-Price theorem for nilpotent Lie groups. We also prove an exact analogue of the Cowling-Price theorem for the Heisenberg group.
Item Type: | Article |
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Source: | Copyright of this article belongs to Australian Mathematical Society. |
Keywords: | Weyl Transform; Nilpotent Lie Groups; Heat Kernel; Hermite; Special Hermite Functions |
ID Code: | 53573 |
Deposited On: | 09 Aug 2011 11:42 |
Last Modified: | 18 May 2016 06:39 |
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