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Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

Published online by Cambridge University Press:  09 April 2009

S. Parui
Stat.-Math. Division Indian Statistical Institute203 B.T. Road Kolkata 700108India e-mail:
S. Thangavelu
Department of Mathematics Indian Institute of ScienceBangalore 560012India e-mail:
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In this paper we prove a new version of the Cowling-Price theorem for Fourier transforms on Rn. 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.

Research Article
Copyright © Australian Mathematical Society 2007


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