Friedrich Haslinger
Singularities of the Szegö kernel for certain
weakly pseudoconvex domains in
C2
(22 pages)
Abstract.
We study the Szegö kernel for a class of weakly
pseudoconvex domains in C2.
Starting from an integral representation of the Szegö kernel on the
boundary of the domain we derive a complete asymptotic expansion of
the main part of the integral kernel, which gives, near boundary
points of finite type, a full description of the singularities up to
a bounded function. Finally we point out how one can extend the
results to more general domains.
The following version is available: