The Bergman kernel function: explicit formulas and zeroes

Details The Bergman kernel function: explicit formulas and zeroes The Bergman kernel function: explicit formulas and zeroes

1997-06-25

arxiv.org/abs/math/9706202v1

Mathematics

Complex Variables

Scientific paper

We show how to compute the Bergman kernel functions of some special domains
in a simple way. As an application of the explicit formulas, we show that the
Bergman kernel functions of some convex domains, for instance the domain in C^3
defined by the inequality |z_1|+|z_2|+|z_3|<1, have zeroes.

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