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Variations on a theorem of cowling and price with applications to nilpotent Lie groups

Parui, S and Thangavelu, S (2007) Variations on a theorem of cowling and price with applications to nilpotent Lie groups. In: Journal Of The Australian Mathematical Society, 82 (Part 1). pp. 11-27.

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Official URL: http://www.austms.org.au/Publ/JAustMS/V82P1/pdf/q1...

Abstract

In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on R-n. Using this we formulate and prove an uncertainty principle for operators. This leads to an analogue of the Cowling-Price theorem for nilpotent Lie groups. We also prove an exact analogue of the Cowling-Price theorem for the Heisenberg group.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Australian Mathematical Society
Keywords: Weyl transform; nilpotent Lie groups; heat kernel; Hermite and special Hermite functions
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 26 Dec 2008 11:05
Last Modified: 26 Dec 2008 11:05
URI: http://eprints.iisc.ernet.in/id/eprint/16705

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