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Chapitre D'ouvrage Année : 2003

The heat kernel on noncompact symmetric spaces

Résumé

The heat kernel plays a central role in mathematics. It occurs in several fields: analysis, geometry and - last but not least - probability theory. In this survey, we shall focus on its analytic aspects, specifically sharp bounds, in the particular setting of Riemannian symmetric spaces of noncompact type. It is a natural tribute to Karpelevic, whose pioneer work [Ka] inspired further study of the geometry of theses spaces and of the analysis of the Laplacian thereon.
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Dates et versions

hal-00002509 , version 1 (09-08-2004)

Identifiants

  • HAL Id : hal-00002509 , version 1

Citer

Jean-Philippe Anker, Patrick Ostellari. The heat kernel on noncompact symmetric spaces. S. G. Gindikin. Lie groups and symmetric spaces, Amer. Math. Soc., pp.27-46, 2003, Amer. Math. Soc. Transl. Ser. 2, vol. 210. ⟨hal-00002509⟩
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