On the reflection principle in several complex variables
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- by S. M. Webster PDF
- Proc. Amer. Math. Soc. 71 (1978), 26-28 Request permission
Abstract:
The edge-of-the-wedge theorem is used to extend a biholomorphic map across a nondegenerate real analytic boundary in ${{\mathbf {C}}^n}$ under some differentiability assumption at the boundary.References
- Charles Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1–65. MR 350069, DOI 10.1007/BF01406845 H. Lewy, On the boundary behavior of holomorphic mappings, Accad. Naz. dei Lincei, no. 35, 1977.
- Walter Rudin, Lectures on the edge-of-the-wedge theorem, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 6, American Mathematical Society, Providence, R.I., 1971. MR 0310288 S. I. Pinčuk, On the analytic continuation of holomorphic mappings, Math. Sb. 27 (1975), 375-392.
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 26-28
- MSC: Primary 32D15; Secondary 32C05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0477138-4
- MathSciNet review: 0477138