Analytic continuation of a biholomorphic mapping
Won K. Park
TL;DR
This paper offers a new proof for Pinchuk's theorem, demonstrating how biholomorphic mappings between certain strongly pseudoconvex real hypersurfaces can be analytically continued.
Contribution
The paper introduces an alternative proof method for Pinchuk's theorem on analytic continuation of biholomorphic mappings between strongly pseudoconvex hypersurfaces.
Findings
New proof of Pinchuk's theorem established
Analytic continuation of biholomorphic mappings confirmed for strongly pseudoconvex hypersurfaces
Method enhances understanding of complex hypersurface mappings
Abstract
We present a new proof of Pinchuk's theorem on the analytic continuation of a biholomorphic mapping from a strongly pseudoconvex analytic real hypersurface to a compact strongly pseudoconvex analytic real hypersurface in a complex euclidean space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Analytic and geometric function theory