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

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

2011-01-17

arxiv.org/abs/1101.3135v1

Mathematics

Complex Variables

7pages

Scientific paper

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.

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