Holomorphic Mappings of Domains with Generic Corners
S. M. Webster
Abstract
S. M. Webster
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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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