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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
Affiliation:
Stat.-Math. Division Indian Statistical Institute203 B.T. Road Kolkata 700108India e-mail: sanjuparui@gmai.com
S. Thangavelu
Affiliation:
Department of Mathematics Indian Institute of ScienceBangalore 560012India e-mail: veluma@math.iisc.emet.in
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2007

References

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