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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The envelope of holomorphy of a truncated tube


Author: Zai Fei Ye
Journal: Proc. Amer. Math. Soc. 111 (1991), 157-159
MSC: Primary 32D15; Secondary 32A07
DOI: https://doi.org/10.1090/S0002-9939-1991-1030739-3
MathSciNet review: 1030739
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Abstract | References | Similar Articles | Additional Information

Abstract: A counterexample is constructed to show an essential difference between local and global CR extensions in tube domains.


References [Enhancements On Off] (What's this?)

  • [BT] M. S. Baouendi and F. Treves, A microlocal version of Bochner's tube theorem, Indiana Univ. Math. J. 31 (1982), 885-895. MR 674873 (84b:35025)
  • [T] J. M. Trepreau, Sur le prolongement holomorphe des fonctions CR definis sur une hypersurface Réelle de classe $ {C^2}$ dans $ {\mathbb{C}^n}$, Invent. Math. 83 (1986), 583-592. MR 827369 (87f:32035)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1030739-3
Keywords: CR function, pseudoconvexity, subharmonic function
Article copyright: © Copyright 1991 American Mathematical Society

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