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 |
|---|---|
| Publication: | Journal of the Australian Mathematical Society |
| Publisher: | Cambridge University Press |
| Additional Information: | Copyright of this article belongs to Cambridge University Press. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 Aug 2011 10:01 |
| Last Modified: | 19 Aug 2011 10:01 |
| URI: | http://eprints.iisc.ac.in/id/eprint/39987 |
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