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 version of Hardy's theorem on semisimple Lie groups
Author(s):
E.
K.
Narayanan;
S.
K.
Ray
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1859-1866.
MSC (2000):
Primary 22E30;
Secondary 22E46, 43A30
Posted:
January 16, 2002
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Abstract:
We prove an analogue of the  version of Hardy's theorem on semisimple Lie groups. The theorem says that on a semisimple Lie group, a function and its Fourier transform cannot decay very rapidly on an average.
References:
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Additional Information:
E.
K.
Narayanan
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore 560 059, India
Address at time of publication:
Department of Mathematics & Computer Sciences, Bar-Ilan University, 52900 Ramat-Gan, Israel
Email:
naru@isibang.ac.in, naru@macs.biu.ac.il
S.
K.
Ray
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700035, India
Address at time of publication:
Department of Mathematics, Indian Institute of Technology, Kanpur, U.P.-208016, India
Email:
res9601@www.isical.ac.in, skray@iitk.ac.in
DOI:
10.1090/S0002-9939-02-06272-X
PII:
S 0002-9939(02)06272-X
Keywords:
Hardy's theorem,
uncertainty principle,
semisimple Lie groups
Received by editor(s):
July 25, 2000
Received by editor(s) in revised form:
January 2, 2001
Posted:
January 16, 2002
Additional Notes:
This research was supported by NBHM, India
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2002,
American Mathematical Society
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