Friedrich Haslinger
Szegö kernels for certain unbounded domains in
C2
(13 pages)
Abstract.
We consider the connection between the Szegö kernel of certain
unbounded domains of C2 and the Bergman
kernels of weighted spaces of entire functions of one complex
variable.
We apply the results to get explicit expressions for Szegö kernels
and Bergman kernels in some special cases and discuss the
asymptotic behavior of the kernel functions. Finally , for a
special case, we define a pseudometric globally suited to the
geometry on the boundary.
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