Browsing by Author "Lohoué, N."
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Article
On the large time behavior of heat kernels on Lie groups
Lohoué, N.; Alexopoulos, Georgios K. (2003)We prove Gaussian estimates for heat kernels on semisimple Lie groups by using the method of Block wave representation. We also give a large time asymptotic expansion for heat kernels on compact extensions of abelian Lie groups.
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Article
Sobolev Inequalities and Harmonic Functions of Polynomial Growth
Alexopoulos, Georgios K.; Lohoué, N. (1993)We prove a Sobolev inequality for functions not necessarily with compact support, on a connected Lie group G of polynomial volume growth. To prove this inequality we have to characterise the harmonic functions of polynomial ...