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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$L^p$ versions of Hardy's uncertainty principle on hyperbolic spaces


Author: Nils Byrial Andersen
Journal: Proc. Amer. Math. Soc. 131 (2003), 2797-2807
MSC (2000): Primary 43A85, 22E30
Published electronically: February 28, 2003
MathSciNet review: 1974337
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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 $L^p$ 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: http://dx.doi.org/10.1090/S0002-9939-03-07006-0
PII: S 0002-9939(03)07006-0
Received by editor(s): April 3, 2002
Published electronically: February 28, 2003
Additional Notes: The author was supported by a postdoctoral grant from the Australian Research Council (ARC)
Communicated by: Rebecca Herb
Article copyright: © Copyright 2003 American Mathematical Society