Estim\'ees des noyaux de Green et de la chaleur sur les espaces sym\'etriques

TL;DR

This paper derives an off-diagonal upper bound for Green and heat kernels associated with Laplace-type operators on symmetric spaces, advancing understanding of their behavior in geometric analysis.

Contribution

It provides new off-diagonal upper bounds for Green and heat kernels on symmetric spaces, a novel result in the spectral analysis of these operators.

Findings

Established off-diagonal upper bounds for Green kernels

Derived heat kernel estimates on symmetric spaces

Enhanced understanding of Laplace operators in geometric contexts

Abstract

We obtain an off-diagonal upper bound for Green and heat kernel of Laplace type operator on symmetric spaces.