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# Beurling's Theorem and Characterization of Heat Kernel for Riemannian Symmetric Spaces of Noncompact Type

Published:2007-06-01
Printed: Jun 2007
• Rudra P. Sarkar
• Jyoti Sengupta
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## Abstract

We prove Beurling's theorem for rank $1$ Riemannian symmetric spaces and relate its consequences with the characterization of the heat kernel of the symmetric space.
 Keywords: Beurling's Theorem, Riemannian symmetric spaces, uncertainty principle
 MSC Classifications: 22E30 - Analysis on real and complex Lie groups [See also 33C80, 43-XX] 43A85 - Analysis on homogeneous spaces