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versions of Hardy's uncertainty principle on hyperbolic spaces
Author(s):
Nils
Byrial
Andersen
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2797-2807.
MSC (2000):
Primary 43A85, 22E30
Posted:
February 28, 2003
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Abstract:
Hardy's uncertainty principle states that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. In this paper we prove versions of this principle for the Jacobi transform and for the Fourier transform on real hyperbolic spaces.
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Additional Information:
Nils
Byrial
Andersen
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia
Email:
byrial@maths.unsw.edu.au
DOI:
10.1090/S0002-9939-03-07006-0
PII:
S 0002-9939(03)07006-0
Received by editor(s):
April 3, 2002
Posted:
February 28, 2003
Additional Notes:
The author was supported by a postdoctoral grant from the Australian Research Council (ARC)
Communicated by:
Rebecca Herb
Copyright of article:
Copyright
2003,
American Mathematical Society
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