The Bergman kernel function and proper holomorphic mappings
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- by Steven R. Bell PDF
- Trans. Amer. Math. Soc. 270 (1982), 685-691 Request permission
Abstract:
It is proved that a proper holomorphic mapping $f$ between bounded complete Reinhardt domains extends holomorphically past the boundary and that if, in addition, ${f^{ - 1}}(0) = \{ 0\}$, then $f$ is a polynomial mapping. The proof is accomplished via a transformation rule for the Bergman kernel function under proper holomorphic mappings.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 270 (1982), 685-691
- MSC: Primary 32H10; Secondary 32F15
- DOI: https://doi.org/10.1090/S0002-9947-1982-0645338-1
- MathSciNet review: 645338