A generalization of a microlocal version of Bochner's theorem

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 infi...

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Veröffentlicht in:Transactions of the American Mathematical Society 2021-07, Vol.374 (7), p.5269-5285
1. Verfasser: Berhanu, S.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/8425