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

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

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.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2004-05, Vol.114 (2), p.159-180
Hauptverfasser: Ray, Swagato K., Sarkar, Rudra P.
Format: Artikel
Sprache:eng
Schlagworte:
Cowlings
Kernels
Theorems
Uncertainty principles
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Beschreibung
Zusammenfassung: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.
ISSN:0253-4142
0973-7685
DOI:10.1007/BF02829851