Cowling-price theorem and characterization of heat kernel on symmetric spaces

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Abstract

We extend the uncertainty principle, the Cowling-Price theorem, on noncompact Riemannian symmetric spacesX. We establish a characterization of the heat kernel of the Laplace-Beltrami operator onX from integral estimates of the Cowling-Price type.

Keywords

Hardy’s theorem spherical harmonics symmetric space Jacobi function heat kernel 
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Copyright information

© Indian Academy of Sciences 2004

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of TechnologyKanpurIndia
  2. 2.Stat-Math DivisionIndian Statistical InstituteKolkataIndia

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