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Transactions of the American Mathematical Society

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On the regularity of CR mappings between CR manifolds of hypersurface type


Authors: S. Berhanu and Ming Xiao
Journal: Trans. Amer. Math. Soc. 369 (2017), 6073-6086
MSC (2010): Primary 32V05, 32V10, 32V20; Secondary 32H02, 32H40
DOI: https://doi.org/10.1090/tran/6818
Published electronically: May 11, 2017
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Abstract: We prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two Levi-nondegenerate CR manifolds of hypersurface type.


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Additional Information

S. Berhanu
Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
Email: berhanu@temple.edu

Ming Xiao
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

DOI: https://doi.org/10.1090/tran/6818
Received by editor(s): December 14, 2014
Received by editor(s) in revised form: August 19, 2015
Published electronically: May 11, 2017
Additional Notes: The work of the first author was supported in part by NSF DMS 1300026
Article copyright: © Copyright 2017 American Mathematical Society

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