Global Holomorphic Approximations of CR Functions on CR Manifolds
Under some geometric and analytic conditions on a generic CR submanifold , it is proved that there exists a neighborhood Ω of with the following property: For any strongly pseudoconvex domain any smooth CR function can be uniformly approximated on by functions holomorphic on Dbar:.
R. Dwilewicz and P. M. Gauthier, "Global Holomorphic Approximations of CR Functions on CR Manifolds," Complex Variables and Elliptical Equations, Taylor & Francis, Jan 1985.
The definitive version is available at http://dx.doi.org/10.1080/17476938508814121
Mathematics and Statistics
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