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
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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