Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 69, pp. 1-15.

Title: Resolvent kernel for the Kohn Laplacian on Heisenberg groups 

Authors: Neur eddine Askour (Faculty of Sciences and Technics (M'Ghila), Morocco)
  Zouhair Mouayn (Faculty of Sciences and Technics (M'Ghila), Morocco)
         
Abstract: 
  We present a formula that relates the Kohn Laplacian on
  Heisenberg groups and the magnetic Laplacian. Then we obtain the
  resolvent kernel for the Kohn Laplacian and find its spectral density.
  We conclude by obtaining the Green kernel for fractional powers of the
  Kohn Laplacian.
   
Submitted March 15, 2002. Published July 24, 2002.
Math Subject Classifications: 47A10, 34A05, 35C15, 34B27.
Key Words:  Kohn Laplacian; Heisenberg group; magnetic 
Laplacian; resolvent kernel; Green kernel; spectral density.