Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains

Martijn Caspers, Jordy Timo van Velthoven

Let ${\pi }_{\alpha }$ be a holomorphic discrete series representation of a connected semi-simple Lie group $G$ with finite center, acting on a weighted Bergman space $A_{\alpha }^2(\Omega )$ on a bounded s…