Regularity of CR-mappings between Fuchsian type hypersurfaces in \mathbb C²

2020/02/25 by P. Ebenfelt, Ebenfelt, P., I. Kossovskiy +3
Mathematics · #Advanced Banach Space Theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2002.11527

openalex publication_date 2020/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in \mathbb C². We show that, under the Fuchsian type condition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem.

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