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A CONCRETE APPROACH TO DIAGONAL SHORT TIME ASYMPTOTICS OF HEAT KERNELS ASSOCIATED WITH SUB-LAPLACIAN ON CR MANIFOLDS

2017
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Kyushu Journal of Mathematics
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A diffusion process associated with the real sub-Laplacian b , the real part of the complex Kohn-Spencer Laplacian b , on a strictly pseudoconvex CR manifold is constructed by H. Kondo and S. Taniguchi [A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications. J. Math. Soc. Japan 69(1) (2017), 111-125]. In this paper, we investigate the diagonal short time asymptotics of the heat kernel corresponding to the diffusion process by using Watanabe's

doi:10.2206/kyushujm.71.65
fatcat:gjaoqwhzrzhp7gtuqfnzbt2c7a