Holomorphic extension from a convex hypersurface

2009/11/08 by Luca Baracco, L. Baracco, Baracco, L.
Mathematics · #32D10 #32N15 #32V10 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:32D10 #msc:32N15 #msc:32V10

paper · pdf · doi:10.48550/arxiv.0911.1521

5 pages

openalex publication_date 2009/11/08 · arxiv created 2009/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a general result of holomorphic extension of a real analytic function f defined on the boundary ∂ D of a real analytic strictly convex subset D⊂⊂ \Cⁿ. We show that this follows from the hypothesis of separate holomorphic extension along stationary/extremal discs.

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