On the Bergman kernels of Certain Quotient domains

Gargi Ghosh

Published 2021-04-29Version 1

We describe a transformation rule for Bergman kernels under a proper holomorphic mapping which is factored by automorphisms $G$, where the group $G$ is a finite pseudoreflection group or conjugate to a finite pseudoreflection group. Explicit formulae for Bergman kernels of several domains have been deduced to demonstrate the adequacy of the described transformation rule.