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Analytic sets and the boundary regularity of CR mappings

Author(s): Sergey Pinchuk; Kaushal Verma
Journal: Proc. Amer. Math. Soc. 129 (2001), 2623-2632.
MSC (1991): Primary 32V10; Secondary 32V25
Posted: March 15, 2001
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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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Additional Information:

Sergey Pinchuk
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47401
Email: pinchuk@indiana.edu

Kaushal Verma
Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email: kkverma@syr.edu, kverma@math.lsa.umich.edu

DOI: 10.1090/S0002-9939-01-05970-6
PII: S 0002-9939(01)05970-6
Keywords: CR mappings, correspondences
Received by editor(s): December 28, 1999
Posted: March 15, 2001
Additional Notes: The first author's research was supported in part by a fund from the NSF
Communicated by: Steven R. Bell
Copyright of article: Copyright 2001, American Mathematical Society

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