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# Estimates for the heat kernel on $\SL (n,{\bf R})/\SO (n)$

Published:1997-04-01
Printed: Apr 1997
• P. Sawyer
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## Abstract

In \cite{Anker}, Jean-Philippe Anker conjectures an upper bound for the heat kernel of a symmetric space of noncompact type. We show in this paper that his prediction is verified for the space of positive definite $n\times n$ real matrices.
 MSC Classifications: 58G30 - unknown classification 58G3053C35 - Symmetric spaces [See also 32M15, 57T15] 58G11 - unknown classification 58G11