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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
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.ernet.in/id/eprint/39987

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