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arxiv: 1101.3135 · v1 · pith:MJIRLU76new · submitted 2011-01-17 · 🧮 math.CV

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

classification 🧮 math.CV
keywords bergmankernelzerosdomainfock-bargmann-hartogsinterlacingpropertyconsider
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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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