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)|
|Number of pages||7|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - 1999|
All Science Journal Classification (ASJC) codes
- Applied Mathematics