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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the regularity of CR mappings between CR manifolds of hypersurface type
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by S. Berhanu and Ming Xiao PDF
Trans. Amer. Math. Soc. 369 (2017), 6073-6086 Request permission

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.
References
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Additional Information
  • S. Berhanu
  • Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
  • MR Author ID: 35355
  • Email: berhanu@temple.edu
  • Ming Xiao
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • MR Author ID: 904127
  • 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
  • © Copyright 2017 American Mathematical Society
  • 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
  • MathSciNet review: 3660213