Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*
Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*
The aim of this paper is threefold. First, we obtain the precise bounds for the heat kernel on isotropic Heisenberg groups by using well-known results in the three-dimensional case. Second, we study the asymptotic estimates at infinity for the heat kernel on nonisotropic Heisenberg groups. As a consequence, we give …