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A proof of Bochner's tube theorem
Author(s):
J.
Hounie
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4203-4207.
MSC (2000):
Primary 32A07;
Secondary 32D10, 32D15
Posted:
August 5, 2009
MathSciNet review:
2538581
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Additional information
Abstract:
We give a proof of Bochner's tube theorem based on the Baouendi-Treves approximation formula.
References:
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- [BT]
- M. S. Baouendi and F. Treves, A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. of Math. (2) 113 (1981), 387-421. MR 607899 (82f:35057)
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- S. Bochner, A theorem on analytic continuation of functions in several variables, Ann. of Math. (2) 39 (1938), 14-19. MR 1503384
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- S. Bochner and W. T. Martin, Several Complex Variables, Princeton University Press, 1948. MR 0027863 (10:366a)
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- A. Boivin and R. Dwilewicz, Extension and approximation of CR functions on tube manifolds, Trans. Amer. Math. Soc. 350 (1998), 1945-1956. MR 1443864 (98h:32011)
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Additional Information:
J.
Hounie
Affiliation:
Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, SP, 13565-905, Brasil
Email:
hounie@dm.ufscar.br
DOI:
10.1090/S0002-9939-09-10057-6
PII:
S 0002-9939(09)10057-6
Keywords:
Bochner's tube theorem,
Baouendi-Treves approximation formula
Received by editor(s):
April 13, 2009
Posted:
August 5, 2009
Additional Notes:
This work was supported in part by CNPq and FAPESP
Communicated by:
Franc Forstneric
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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