摘要
In this paer we will study the wellposed of the inital value problem associated to the homogeneous left invariant differential operator on the Heisenberg group by the method of group Forier anasis L=(-1)^k/2^k ∑j=1^1 aj(Zj^k Zj^-k+Zj^-kZj^k)+(-i)^3k rS^k(where aj>0,r∈R)on the Heisenboerg group,then obtain the explicit expression of the fundamental solutions for the generalized heat operator δ/δt+L and the operator L.
