Baklouti, Ali ; Thangavelu, Sundaram (2010) Variants of Miyachi's theorem for nilpotent Lie groups Journal of the Australian Mathematical Society, 88 (1). pp. 1-7. ISSN 1446-7887
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Official URL: http://journals.cambridge.org/action/displayAbstra...
Related URL: http://dx.doi.org/10.1017/S144678870900038X
Abstract
We formulate and prove two versions of Miyachi's theorem for connected, simply connected nilpotent Lie groups. This allows us to prove the sharpness of the constant ¼ in the theorems of Hardy and of Cowling and Price for any nilpotent Lie group. These theorems are proved using a variant of Miyachi's theorem for the group Fourier transform.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Australian Mathematical Society. |
| Keywords: | Uncertainty Principles; Plancherel Formula; Nilpotent Lie Group |
| ID Code: | 53572 |
| Deposited On: | 09 Aug 2011 11:42 |
| Last Modified: | 10 Aug 2011 07:10 |
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