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On the reflection principle in several complex variables. (English) Zbl 0626.32019
The edge-of-the-wedge theorem is used to extend a biholomorphic map across a nondegenerate real analytic boundary in \({\mathbb{C}}^ n\) under some differentiability assumption at the boundary.

32D15 Continuation of analytic objects in several complex variables
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[1] Charles Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1 – 65. · Zbl 0289.32012 · doi:10.1007/BF01406845 · doi.org
[2] H. Lewy, On the boundary behavior of holomorphic mappings, Accad. Naz. dei Lincei, no. 35, 1977.
[3] Walter Rudin, Lectures on the edge-of-the-wedge theorem, American Mathematical Society, Providence, R.I., 1971. Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 6. · Zbl 0214.09001
[4] S. I. Pinčuk, On the analytic continuation of holomorphic mappings, Math. Sb. 27 (1975), 375-392.
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