Variants Of Miyachi’S Theorem For Nilpotent Lie Groups

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.
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.ac.in/id/eprint/40314

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