The Cauchy kernel for cones
Volume 163 / 2004
Studia Mathematica 163 (2004), 21-39
MSC: 32A26, 32D15.
DOI: 10.4064/sm163-1-2
Abstract
A new representation of the Cauchy kernel ${\mathcal K}_{{\mit \Gamma }}$ for an arbitrary acute convex cone ${\mit \Gamma }$ in ${\mathbb R}^n$ is found. The domain of holomorphy of ${\mathcal K}_{{\mit \Gamma }}$ is described. An estimation of the growth of ${\mathcal K}_{{\mit \Gamma }}$ near the singularities is given.
