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CR Extension from Manifolds of Higher Type
Published online by Cambridge University Press: 20 November 2018
Abstract
This paper deals with the extension of $\text{CR}$ functions from a manifold $M\,\subset \,{{\mathbb{C}}^{n}}$ into directions produced by higher order commutators of holomorphic and antiholomorphic vector fields. It uses the theory of complex “sectors” attached to real submanifolds introduced in recent joint work of the authors with D. Zaitsev. In addition, it develops a new technique of approximation of sectors by smooth discs.
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- Research Article
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- Copyright © Canadian Mathematical Society 2008
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