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

Details Cowling-Price theorem and characterization of heat kernel on symmetric spaces Cowling-Price theorem and characterization of heat kernel on symmetric spaces

2004-06-28

arxiv.org/abs/math/0406570v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 2, May 2004, pp. 159-180

Mathematics

Representation Theory

22 pages, no figures, no tables

Scientific paper

We extend the uncertainty principle, the Cowling--Price theorem, on
non-compact Riemannian symmetric spaces $X$. We establish a characterization of
the heat kernel of the Laplace--Beltrami operator on $X$ from integral
estimates of the Cowling--Price type.

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