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

Published 17 Jan 2011 in math.CV | (1101.3135v1)

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.

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