The Bergman kernel function: Explicit formulas and zeroes Academic Article uri icon

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. © 1999 American Mathematical Society.

author list (cited authors)

  • Boas, H. P., Fu, S., & Straube, E. J.

citation count

  • 41

publication date

  • January 1999