In this paper, we prove that a localization principle for biholomorphic mappings between equidimensional Fock-Bargmann-Hartogs domains holds. As an application of this, we show that any proper holomorphic mapping between two equidimensional Fock-Bargmann-Hartogs domains satisfying some condition is necessarily a biholomorphic mapping.
"A localization principle for biholomorphic mappings between the Fock-Bargmann-Hartogs domains." Hiroshima Math. J. 48 (2) 171 - 187, July 2018. https://doi.org/10.32917/hmj/1533088831