The bergman kernel function: Explicit formulas and zeroes

Harold P. Boas; Siqi Fu; Emil J. Straube

doi:10.1090/s0002-9939-99-04570-0

The bergman kernel function: Explicit formulas and zeroes

Harold P. Boas, Siqi Fu, Emil J. Straube

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

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 ℂ³ defined by the inequality |z₁| + |z₂| + |z₃| < 1, have zeroes.

Original language	English (US)
Pages (from-to)	805-811
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-99-04570-0
State	Published - 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/s0002-9939-99-04570-0

Cite this

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abstract = "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 ℂ3 defined by the inequality |z1| + |z2| + |z3| < 1, have zeroes.",

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N2 - 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 ℂ3 defined by the inequality |z1| + |z2| + |z3| < 1, have zeroes.

AB - 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 ℂ3 defined by the inequality |z1| + |z2| + |z3| < 1, have zeroes.

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JO - Proceedings of the American Mathematical Society

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ER -

The bergman kernel function: Explicit formulas and zeroes

Abstract

All Science Journal Classification (ASJC) codes

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