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A reflection principle on strongly pseudoconvex domains with generic corners. (English) Zbl 0790.32024

It is proved that a biholomorphic mapping between domains in \(\mathbb{C}^ n\) with certain type of generic, real-analytic corners in their boundaries extends holomorphically across these corners. In particular, every biholomorphic mapping between bounded, real-analytic, strongly pseudoconvex domains in \(\mathbb{C}^ n\) with generic corners extends holomorphically across the boundary.

MSC:

32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables
32V99 CR manifolds
32D15 Continuation of analytic objects in several complex variables
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