caa a22 4500 388046422 CHVBK 20180307125039.0 cr unu---uuuuu 161130e199812 xx s 000 0 eng 10.1017/S1446788700035886 doi S1446788700035886 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700035886 Uncertainty principles like Hardy's theorem on some Lie groups [Elektronische Daten] 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. Copyright © Australian Mathematical Society 1998 primary 22E25 nationallicence 22E30 nationallicence Uncertainty principles nationallicence Heisenberg groups nationallicence Euclidean motion group nationallicence Oscillator group nationallicence Hardy's theorem nationallicence Bagchi S. C. Stat-Math Division, Indian Statistical Institute, 203, B. T. Road, Calcutta 700 035, India e-mail: somesh@isical.ac.in & res9601@isical.ac.in Ray Swagato K. Stat-Math Division, Indian Statistical Institute, 203, B. T. Road, Calcutta 700 035, India e-mail: somesh@isical.ac.in & res9601@isical.ac.in Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 289-302 1446-7887 65:3<289 1998 65 JAZ https://doi.org/10.1017/S1446788700035886 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700035886 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bagchi S. C. Stat-Math Division, Indian Statistical Institute, 203, B. T. Road, Calcutta 700 035, India e-mail: somesh@isical.ac.in & res9601@isical.ac.in NATIONALLICENCE 700 1- Ray Swagato K. Stat-Math Division, Indian Statistical Institute, 203, B. T. Road, Calcutta 700 035, India e-mail: somesh@isical.ac.in & res9601@isical.ac.in NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 65/3(1998-12), 289-302 1446-7887 65:3<289 1998 65 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge