The Semigroup and the Inverse of the Laplacian on the Heisenberg Group
The Semigroup and the Inverse of the Laplacian on the Heisenberg Group
By decomposing the Laplacian on the Heisenberg group into a family of parametrized partial differential operators Lτ ,τ ∈ R \ {0}, and using parametrized Fourier-Wigner transforms, we give formulas and estimates for the strongly continuous one-parameter semigroup generated by Lτ , and the inverse of Lτ .Using these formulas …