AustMS

Journals

JAMS-A

JAMS-B

JAMS-E

Bulletin

Gazette

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
Stat-Math Division
Indian Statistical Institute
203, B. T. Road, Calcutta 700 035, India
e-mail: 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.

View Paper in
PDF Format

PDF file size: 96K


© Copyright 1998, Australian Mathematical Society
TeXAdel Scientific Publishing
1998-09-18