IUMJ

Title: Domains of polyhedral type and boundary extensions of biholomorphisms

Authors: Dmitri Zaitsev

Issue: Volume 47 (1998), Issue 4, 1511-1526

Abstract: For $D$, $D'$ analytic polyhedra in $\mathbb{C}^n$, it is proven that a bi-holomorphic mapping $f : D \to D'$ extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to a more general class of domains with no smoothness condition on the boundary.