1. CJM 2008 (vol 60 pp. 1219)
|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