Holomorphic functions and subelliptic heat kernels over Lie groups
Holomorphic functions and subelliptic heat kernels over Lie groups
A Hermitian form q on the dual space, \mathfrak g^* , of the Lie algebra, \mathfrak g , of a Lie group, G , determines a sub-Laplacian, \Delta , on G . It will be shown that Hörmander’s condition for hypoellipticity of the sub-Laplacian holds if and only if the …