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

Published online by Cambridge University Press:  20 November 2018

Rudra P. Sarkar  and
Jyoti Sengupta
Rudra P. Sarkar
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700108, India e-mail: rudra@isical.ac.in
Jyoti Sengupta
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Rd., Mumbai 400005, India e-mail: sengupta@math.tifr.res.in
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Abstract

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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

22E3043A85Beurling's TheoremRiemannian symmetric spacesuncertainty principle
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 2 , 01 June 2007 , pp. 291 - 312
Copyright
Copyright © Canadian Mathematical Society 2007

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