Browsing by Subject "Lie group"

Now showing items 1-3 of 3

    • Article  

      Centered densities on Lie groups of polynomial volume growth 

      Alexopoulos, Georgios K. (2002)
      We study the asymptotic behavior of the convolution powers φ*n =φ*φ*⋯φ* of a centered density φ on a connected Lie group G of polynomial volume growth. The main tool is a Harnack inequality which is proved by using ideas ...
    • Article  

      Spectral multipliers on lie groups of polynomial growth 

      Alexopoulos, Georgios K. (1994)
      Let L be a left invariant sub-Laplacian on a connected Lie group G of polynomial volume growth, and let (Eγγ ≥ 0) be the spectral resolution of L and m a bounded Borel measurable function on [0, ∞). In this article we give ...
    • Article  

      Sub-Laplacians with drift on Lie groups of polynomial volume growth 

      Alexopoulos, Georgios K. (2002)
      We prove a parabolic Harnack inequality for a centered sub-Laplacian L on a connected Lie group G of polynomial volume growth by using ideas from Homogenisation theory and by adapting the method of Krylov and Safonov. We ...