A stabilization theorem for Hermitian forms and applications to holomorphic mappings
A stabilization theorem for Hermitian forms and applications to holomorphic mappings
We consider positivity conditions both for real-valued functions of several complex variables and for Hermitian forms. We prove a stabilization theorem relating these two notions, and give some applications to proper mappings between balls in different dimensions. The technique of proof relies on the simple expression for the Bergman kernel …