Parui, S and Thangavelu, S (2007) Variations on a theorem of cowling and price with applications to nilpotent Lie groups. In: Journal Of The Australian Mathematical Society, 82 (Part 1). pp. 11-27.
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Official URL: http://www.austms.org.au/Publ/JAustMS/V82P1/pdf/q1...
Abstract
In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on R-n. 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: | Journal Article |
|---|---|
| Publication: | Journal Of The Australian Mathematical Society |
| Publisher: | Australian Mathematical Society |
| Additional Information: | Copyright for this article belongs to Australian Mathematical Society |
| Keywords: | Weyl transform; nilpotent Lie groups; heat kernel; Hermite and special Hermite functions |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 26 Dec 2008 11:05 |
| Last Modified: | 26 Dec 2008 11:05 |
| URI: | http://eprints.iisc.ac.in/id/eprint/16705 |
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