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1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans 2 Department of Mathematics - University of Michigan

Abstract : On a noncompact symmetric space $G-K$, we obtain optimal upper and lower bounds for the heat kernel $h tx,y$ as well as asymptotics and estimates of its derivatives, under the assumption that $dx,y=O1+t$. As a consequence, we get optimal global bounds same upper and lower bound, up to positive constants, as well as full asymptotics, for other kernels, such as the Green function. This information plays a key role in the description of the Martin compactification of $G-K$, which has been worked out recently by the second author, in collaboration with Y. Guivarc-h and J.C. Taylor.

Keywords : Green function heat kernel Iwasawa AN groups Poisson semigoup reductive Lie groups semisimple Lie groups spherical functions symmetric spaces Riemannian noncompact

Autor: Jean-Philippe Anker - Lizhen Ji -

Fuente: https://hal.archives-ouvertes.fr/


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