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Hardy's uncertainty principle on hyperbolic spaces

Published online by Cambridge University Press:  17 April 2009

Nils Byrial Andersen
Nils Byrial Andersen
Affiliation:
School of Mathematics, University of New South Wales, Sydney NSW 2052, Australia e-mail: byrial@maths.unsw.edu.au
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 163 - 170
Copyright
Copyright © Australian Mathematical Society 2002

References

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