Vol. 3, No. 2, 2010

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ISSN: 1948-206X (e-only)
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Estimées des noyaux de Green et de la chaleur sur les espaces symétriques

Gilles Carron

Vol. 3 (2010), No. 2, 197–205
Abstract

On majore les noyaux de Green et de la chaleur au dehors de la diagonale pour des opérateurs de type laplacien sur les espaces symétriques.

We provide an upper bound for the off-diagonal entries of the Green and heat kernel for Laplace-type operators on symmetric spaces.

Keywords
espace symétrique, noyau de Green, noyau de la chaleur, laplacien, propagation à vitesse finie, symmetric space, Green kernel, heat kernel, laplacian, finite-speed propagation
Mathematical Subject Classification 2000
Primary: 53C35, 58J50
Secondary: 22E40
Milestones
Received: 15 September 2009
Revised: 25 January 2010
Accepted: 22 February 2010
Published: 8 June 2010
Authors
Gilles Carron
Laboratoire de Mathématiques Jean Leray (UMR 6629)
Université de Nantes
2, rue de la Houssinière
B.P. 92208
44322 Nantes Cedex 3
France
http://www.math.sciences.univ-nantes.fr/~carron/