Baklouti, Ali and Thangavelu, Sundaram (2010) Variants Of Miyachi’S Theorem For Nilpotent Lie Groups. In: Journal of the Australian Mathematical Society, 88 (1). pp. 1-17.
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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 1/4 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: | Journal Article |
|---|---|
| Additional Information: | Copyright of this article belongs to Cambridge University Press. |
| Keywords: | uncertainty principles;Plancherel formula;nilpotent Lie group |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 25 Aug 2011 09:34 |
| Last Modified: | 25 Aug 2011 09:34 |
| URI: | http://eprints.iisc.ernet.in/id/eprint/40314 |
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