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

 

Beurling's theorem for Riemannian symmetric spaces II


Authors: Rudra P. Sarkar and Jyoti Sengupta
Journal: Proc. Amer. Math. Soc. 136 (2008), 1841-1853
MSC (2000): Primary 22E30, 43A85
Published electronically: December 5, 2007
MathSciNet review: 2373616
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Abstract: We prove two versions of Beurling's theorem for Riemannian symmetric spaces of arbitrary rank. One of them uses the group Fourier transform and the other uses the Helgason Fourier transform. This is the master theorem in the quantitative uncertainty principle.


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Additional Information

Rudra P. Sarkar
Affiliation: Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., Calcutta 700108, India
Email: rudra@isical.ac.in

Jyoti Sengupta
Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Rd., Mumbai 400005, India
Email: sengupta@math.tifr.res.in

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08990-3
PII: S 0002-9939(07)08990-3
Keywords: Beurling's theorem, uncertainty principle, symmetric space, Radon transform
Received by editor(s): November 9, 2006
Published electronically: December 5, 2007
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.