Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V

In this paper, a connection has been established between the Bergman and Cauchy-Szeg¨o kernels using the biholomorphic equivalence of the domains + (n -1) and the Lie ball ℜn I V. Moreover, integral representations of holomorphic functions in these domains are obtai

On a Theorem of Bers, with Applications to the Study of Automorphism Groups of Domains

We study and generalize a classical theoremof L. Bers that classifies domains up to biholomorphic equivalence in terms of the algebras of holomorphic functions on those domains. Then we develop applications of these results to the study of domains with noncompact automorphism group