Heat kernel and Green function estimates on noncompact symmetric spaces II
Anker, Jean-Philippe ; Ji, Lizhen
HAL, hal-00022965 / Harvested from HAL
Text on HAL
In a recent joint work with the same title, we have obtained optimal upper and lower bounds for the heat kernel $h_t(x,y)$ on a noncompact symmetric space $G/K$, under the assumption that $d(x,y)=O(1+t)$. In this article, we reprove our main result in a simpler way, using Harnack's inequality and avoiding this way hard analysis along faces.
Publié le : 2001-07-05
Classification:  Green function,  Harnack inequality,  heat kernel,  semisimple Lie groups,  spherical functions,  symmetric spaces (Riemannian,  noncompact),  22E30, 22E46, 31C12, 43A80, 43A85, 43A90, 58G11,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00022965,
     author = {Anker, Jean-Philippe and Ji, Lizhen},
     title = {Heat kernel and Green function estimates on noncompact symmetric spaces II},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00022965}
}

Anker, Jean-Philippe; Ji, Lizhen. Heat kernel and Green function estimates on noncompact symmetric spaces II. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022965/