Sarkar, Rudra P. ; Thangavelu, Sundaram (2005) On theorems of Beurling and Hardy for the Euclidean motion group Tohoku Mathematical Journal, 57 (3). pp. 335-351. ISSN 0040-8735
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Official URL: http://www.jstage.jst.go.jp/article/tmj/57/3/57_33...
Related URL: http://dx.doi.org/10.2748/tmj.57.335
Abstract
We establish an analogue of Beurling's uncertainty principle for the group Fourier transform on the Euclidean motion group. We also prove the most general version of Hardy's theorem on it which characterises functions on the motion group that are controlled by the heat kernel associated to the Laplacian of the Euclidean space.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Mathematical Institute of Tohoku University. |
| Keywords: | Beurling's Theorem; Hardy's Theorem; Motion Group |
| ID Code: | 53599 |
| Deposited On: | 09 Aug 2011 11:40 |
| Last Modified: | 10 Aug 2011 07:54 |
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