The bergman kernel function: Explicit formulas and zeroes

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

Research output: Contribution to journalArticlepeer-review

62 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 languageEnglish (US)
Pages (from-to)805-811
Number of pages7
JournalProceedings of the American Mathematical Society
Volume127
Issue number3
DOIs
StatePublished - 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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