• 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.
    • 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 ...