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An uncertainty principle like Hardy's theorem for nilpotent Lie groups

Part of: Abstract harmonic analysis Lie groups

Published online by Cambridge University Press:  09 April 2009

Ajay Kumar  and
Chet Raj Bhatta
Ajay Kumar
Affiliation:
Department of Mathematics, Rajdhani College, (University of Delhi), Raja Garden, New Delhi - 110 015, India e-mail: ajaykr@bol.net.in
Chet Raj Bhatta
Affiliation:
Department of Mathematics, University of Delhi, Delhi - 110 007, India e-mail: crbhatta@yahoo.com
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Abstract

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We extend an uncertainty principle due to Cowling and Price to threadlike nilpotent Lie groups. This uncertainty principle is a generalization of a classical result due to Hardy. We are thus extending earlier work on Rn and Heisenberg groups.

Keywords

uncertainty principlenilpotent Lie groupFourier transformHilbert-Schmidt norm

MSC classification

Secondary: 22E25: Nilpotent and solvable Lie groups 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 1 , August 2004 , pp. 47 - 54
Copyright
Copyright © Australian Mathematical Society 2004

References

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