chapter  23
4 Pages

Green Functions Related to the Heisenberg Group

The Green function Gτ of Lτ for τ ∈ R \ {0} is related to the heat kernel κρ, ρ > 0, by the formula

Gτ (z, w) =

κτρ(z, w) dρ

for all z and w in C. The explicit formula for Gτ is given by the following theorem.