Indefinite structure of the Bergman kernel on the open unit disk
arXiv:2508.17698 · doi:10.1016/j.jmaa.2025.130265
Abstract
In this paper, we focus on an indefinite structure lying behind the Bergman kernel on the open unit disk. In particular, an invariant distance, birational maps and an indefinite kernel are constructed from the Bergman kernel, and we deal with their interaction.