Local holomorphic extendability and non-extendability of CR-functions on smooth boundaries
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 12 (1985) no. 3, pp. 491-502.
@article{ASNSP_1985_4_12_3_491_0,
     author = {Forn{\ae}ss, John Erik and Rea, Claudio},
     title = {Local holomorphic extendability and non-extendability of $CR$-functions on smooth boundaries},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {491--502},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 12},
     number = {3},
     year = {1985},
     mrnumber = {837258},
     zbl = {0587.32035},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_1985_4_12_3_491_0/}
}
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Fornæss, John Erik; Rea, Claudio. Local holomorphic extendability and non-extendability of $CR$-functions on smooth boundaries. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 12 (1985) no. 3, pp. 491-502. http://archive.numdam.org/item/ASNSP_1985_4_12_3_491_0/

[1] M.S. Baouendi - F. Treves, About the holomorphic extension fo CR-functions on real hypersurfaces in complex space, Duke Math. J., 51 (1984), pp. 77-107. | MR | Zbl

[2] E. Bedford, Local and global envelopes of holomorphy of domains in C2. (Preprint).

[3] E. Bedford - J.E. Fornæss, Local extension of CR-functions from weakly pseudoconvex boundaries, Michigan Math. J., 25 (1978) pp. 259-262. | MR | Zbl

[4] E. Bedford and J.E. Fornæss, A construction of peak functions on weakly pseudoconvex domains, Ann. of Math., 107 (1978), pp. 555-568. | MR | Zbl

[5] C.O. Kiselman, On entire functions of exponential type and indicators of analytic functionals, Acta Math. 117, (1967), pp. 1-35. | MR | Zbl

[6] J.J. Kohn - L. Nirenberg, A pseudoconvex demain not admitting a holomorphic support function, Math. Ann. 201 (1973), pp. 265-268. | MR | Zbl

[7] E.E. Levi, Sulle ipersurperfici dello spazio a 4 dimensioni che possono essere frontiera del campo di esistenza di una funzione analitica di due variabili complesse, Ann. Mat. Pura Appl., 18, s. III (1911), pp. 69-79. | JFM

[8] H. Lewy, On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables, Ann. of Math., 74 (1956), pp. 514-522. | MR | Zbl

[9] C. Rea, Extension holomorphe bilatérale des fonctions de Cauchy-Riemann données sur une hypersurface différentiable de C2, C. R. Acad. Sc. Paris, Sér. A, 294, (1982), pp. 577-579. | MR | Zbl

[10] C. Rea, The Cauchy problem for the ∂ operator, Boll. UMI (6), 1-A (1982), pp. 443-449. | Zbl

[11] C. Rea, Prolongement holomorphe des fonctions CR, conditions suffisantes, C. R. Acad. Sc. Paris, 297 (1983), pp. 163-166. | MR | Zbl

[12] L.I. Ronkin, Introduction to the theory of entire functions of several variables, Tr. of Math. Monographs, 44, A.M.S. (1974). | MR | Zbl

[13] B. Stensønes-Henriksen, Ph. D. Thesis, Princeton University.

[14] A. Bogges - J. Pitts, CR extension near a point of higher type, Duke Math. J., 52 (1985), pp. 67-102. | MR | Zbl