Global behavior of the heat kernel associated with certain sub-Laplacians on semisimple Lie groups |
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| Authors: | Patrick Ostellari |
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| Affiliation: | Laboratoire de Mathématiques, Institut Élie Cartan, Université Henri Poincaré-Nancy 1, B.P. 239, F-54 506 Vandœuvre-lès-Nancy Cedex, France |
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| Abstract: | We prove global sharp estimates for the heat kernel related to certain sub-Laplacians on a real semisimple Lie group, from which we deduce an estimate for the corresponding Green function. |
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| Keywords: | 22E30 22E46 35K05 43A90 |
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