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The uncertainty principle on Riemannian symmetric spaces of the noncompact type
Author(s):
J.
Sengupta
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1009-1017.
MSC (2000):
Primary 43A85, 22E30
Posted:
August 29, 2001
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Abstract:
The uncertainty principle in  says that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. A quantitative assertion of this principle is Hardy's theorem. In this article we prove various generalisations of Hardy's theorem for Riemannian symmetric spaces of the noncompact type. In the case of the real line these results were obtained by Morgan and Cowling-Price.
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Additional Information:
J.
Sengupta
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
Email:
sengupta@math.tifr.res.in
DOI:
10.1090/S0002-9939-01-06318-3
PII:
S 0002-9939(01)06318-3
Received by editor(s):
September 18, 2000
Posted:
August 29, 2001
Communicated by:
Rebecca Herb
Copyright of article:
Copyright
2001,
American Mathematical Society
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