Zeros of the Bergman kernel of the Fock-Bargmann-Hartogs domain and the interlacing property

Abstract

In this paper we consider the zeros of the Bergman kernel of the Fock-Bargmann-Hartogs domain $D_{n,m}$. We describe how the existence of zeros of the Bergman kernel depends on the integers $m$ and $n$ with the help of the interlacing property.