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Pick Interpolation for free holomorphic functions
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 6, December 2015
- pp. 1685-1701
- 10.1353/ajm.2015.0042
- Article
- Additional Information
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Abstract
We give necessary and sufficient conditions to solve an interpolation problem for free holomorphic functions bounded in norm on a free polynomial polyhedron. As an application, we prove that every bounded holomorphic function on a polynomial polyhedron extends to a bounded free function.
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