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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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A generalization of a microlocal version of Bochner’s theorem
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by S. Berhanu PDF
Trans. Amer. Math. Soc. 374 (2021), 5269-5285 Request permission

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.
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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