
Journal of the Australian Mathematical Society  Series A
Vol. 65 Part 3 (1998)
Uncertainty principles like Hardy's theorem on some
Lie groups
S. C. Bagchi
and
Swagato K. Ray
StatMath Division
Indian Statistical Institute
203, B. T. Road, Calcutta 700 035, India
email: somesh@isical.ac.in & res9601@isical.ac.in
Abstract:
We extend an uncertainty principle due to Cowling and Price to
Euclidean spaces, Heisenberg groups and the Euclidean motion
group of the plane. This uncertainty principle is a
generalisation of a classical result due to Hardy. We also show
that on the real line this uncertainty principle is almost
equivalent to Hardy's theorem.
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