Mathematics – Complex Variables
Scientific paper
2011-07-08
Mathematics
Complex Variables
25 pages. To appear in the Illnois J. Math
Scientific paper
We consider the Szeg\"o kernel for domains \Omega in C^2 given by \Omega = {(z,w): Im w > b(Re z)} where b is a non-convex quartic polynomial with positive leading coefficient. Such domains are not pseudoconvex. We describe the subset of \bar{\Omega} \times \bar{\Omega} on which the kernel and all its derivatives are finite. In particular, we show that there are points off the diagonal of the boundary at which the Szeg\"o kernel is infitie as well as points on the diagonal at which it is finite.
Gilliam Michael
Halfpap Jennifer
No associations
LandOfFree
The Szegö kernel for certain non-pseudoconvex domains in C^2 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Szegö kernel for certain non-pseudoconvex domains in C^2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Szegö kernel for certain non-pseudoconvex domains in C^2 will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-222643