1982Proceedings of the American Mathematical SocietyRequires access

Holomorphic Mappings of Domains with Generic Corners

S. M. Webster

Open publisher page 6 citations

Abstract

The boundary behavior of a biholomorphic mapping $f$ between two domains with real analytic, generic, nondegenerate corners in ${{\mathbf {C}}^n}$ is considered. Under certain minimal regularity assumptions on $f$ it is shown that $f$ continues holomorphically past the boundary.

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What this paper is about

The boundary behavior of a biholomorphic mapping $f$ between two domains with real analytic, generic, nondegenerate corners in ${{\mathbf {C}}^n}$ is considered. Under certain minimal regularity assumptions on $f$ it is shown that $f$ continues holomorphically past the boundary.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The boundary behavior of a biholomorphic mapping $f$ between two domains with real analytic, generic, nondegenerate corners in ${{\mathbf {C}}^n}$ is considered. Under certain minimal regularity assumptions on $f$ it is shown that $f$ continues holomorphically past the boundary.

Key concepts: Holomorphic function, Boundary (topology), Mathematics, Pure mathematics, Mathematical analysis

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