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Search: MSC category 32V35 ( Finite type conditions on CR manifolds )

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1. CJM 2008 (vol 60 pp. 1219)

Baracco, Luca; Zampieri, Giuseppe
CR Extension from Manifolds of Higher Type
This paper deals with the extension of 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.

Categories:32V25, 32V35, 32C16, 32F18

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