Explicit formulae for the wave kernels for the Laplacians \(\Delta_{\alpha\beta}\) in the Bergman ball \(B^ n, n\geq 1\) (Q1361044)

The authors establish explicit formulae for the kernels of the wave equation defined by the perturbed Bergman Laplacians on the unit ball of \(\mathbb{C}^n\). They then use analytic continuation arguments to give explicit formulae for the kernels of the wave equation defined by a two parameter family of Laplacians on \(\mathbb{C}^n\) which are natural deformations of the Fubini-Study Laplacian on projective space viewed as the dual space of the Bergman ball.