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math.CV2013★ 2 cited
An Application of Macaulay's Estimate to CR Geometry
Dusty Grundmeier, Jennifer Halfpap
Several questions in CR geometry lead naturally to the study of bihomogeneous polynomials on $\C^n \times \C^n$ for which $r(z,\bar{z})\norm{z}^{2d}=\norm{h(z)}^2$ f…
math.CV2011
The Szegö kernel for non-pseudoconvex tube domains in C^2
Michael Gilliam, Jennifer Halfpap
We consider the Szegö kernel for non-pseudoconvex domains in C^2 given by Ω= {(z,w): Im w > b(Re z)} for b a non-convex even-degree polynomial with positive leading coefficient. Th…
math.CV2011★ 3 cited
The Szegö kernel for certain non-pseudoconvex domains in C^2
Michael Gilliam, Jennifer Halfpap
We consider the Szegö kernel for domains Ωin C^2 given by Ω= {(z,w): Im w > b(Re z)} where b is a non-convex quartic polynomial with positive leading coefficient. Such domains are…