A generalization of a microlocal version of Bochner’s theorem
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Abstract:
We prove a generalization of the microlocal version of Bochner’s tube theorem obtained in Baouendi and Trèves [Indiana Univ. Math. J. 31 (1982), pp. 885–895]. The results provide a class of CR structures where CR functions extend holomorphically to a full neighborhood of a point which may be of infinite 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
- Received by editor(s): September 23, 2020
- Received by editor(s) in revised form: March 1, 2021
- Published electronically: April 28, 2021
- Additional Notes: Work was supported in part by NSF DMS 1855737
- © Copyright 2021 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 374 (2021), 5269-5285
- MSC (2020): Primary 32D05, 32A40; Secondary 31B25, 30B40
- DOI: https://doi.org/10.1090/tran/8425
- MathSciNet review: 4273192