Rocky Mountain Journal of Mathematics
Let ω1;ω2 be smoothly bounded doubly connected regions in the complex plane. We establish a transformation law for the Szego kernel under proper holomorphic mappings. This extends known results concerning biholomorphic mappings between multiply connected regions as well as proper holomorphic mappings from multiply connected regions to simply connected regions.
Bolt, Michael, "Szego kernel transformation law for proper holomorphic mappings" (2014). University Faculty Publications and Creative Works. 271.