Analytic sets and the boundary regularity of CR mappings

Pinchuk, Sergey; Verma, Kaushal

doi:10.1090/S0002-9939-01-05970-6

Analytic sets and the boundary regularity of CR mappings
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by Sergey Pinchuk and Kaushal Verma PDF

Proc. Amer. Math. Soc. 129 (2001), 2623-2632 Request permission

Abstract:

It is shown that if a continuous CR mapping between smooth real analytic hypersurfaces of finite type in ${\mathbf C}^n$ extends as an analytic set, then it extends as a holomorphic mapping.

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