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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Beurling’s theorem for Riemannian symmetric spaces II
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by Rudra P. Sarkar and Jyoti Sengupta PDF
Proc. Amer. Math. Soc. 136 (2008), 1841-1853 Request permission

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
  • MR Author ID: 618544
  • 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
  • Received by editor(s): November 9, 2006
  • Published electronically: December 5, 2007
  • Communicated by: Michael T. Lacey
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 1841-1853
  • MSC (2000): Primary 22E30, 43A85
  • DOI: https://doi.org/10.1090/S0002-9939-07-08990-3
  • MathSciNet review: 2373616