Summary
We prove a holomorphic extension theorem for a CR-function on a real hypersurface with boundary of Cn, assuming that the boundary is contained in the zero locus of a pluriharmonic function.
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S. Bochner,Analytic and meromorphic continuation by means of Green's formula, Ann. of Math.,44 (1943), pp. 652–673.
F. R. Harvey,Integral formulas connected by Dolbeault's isomorphism, Rice Univ. Studies, vol. 56 (1969), pp. 77–97.
F. R. Harvey -B. Lawson,On boundaries of complex analytic varieties, I, Ann. of Math.,108 (1975), pp. 223–290.
H. Lewy,On the local character of the solution of an atypical linear differential equation in three variables and a related theorem for regular functions of two variables, Ann. of Math.,64 (1956), pp. 514–522.
E. Martinelli,Sulla determinazione di una funzione analitica di più variabili complesse in un campo, assegnatane la traccia sulla frontiera, Ann. Mat. Pura Appl., Serie IV, Tomo LV (1961), pp. 191–202.
E. Martinelli,Alcuni teoremi integrali per le funzioni analitiche di più variabili complesse, «Memorie Acc. Italia»,9 (1938), pp. 269–283.
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Lupacciolu, G., Tomassini, G. Un teorema di estensione per leCR-funzioni. Annali di Matematica pura ed applicata 137, 257–263 (1984). https://doi.org/10.1007/BF01789398
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DOI: https://doi.org/10.1007/BF01789398