The uncertainty principle on Riemannian symmetric spaces of the noncompact type

Author:
J. Sengupta

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1009-1017

MSC (2000):
Primary 43A85, 22E30

DOI:
https://doi.org/10.1090/S0002-9939-01-06318-3

Published electronically:
August 29, 2001

MathSciNet review:
1873774

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-01-06318-3

Received by editor(s):
September 18, 2000

Published electronically:
August 29, 2001

Communicated by:
Rebecca Herb

Article copyright:
© Copyright 2001
American Mathematical Society