Extension of CR functions into a wedge from a manifold of finite type. (English. Russian original) Zbl 0692.58005

Tumanov, A. E.

Math. USSR, Sb. 64, No. 1, 129-140 (1989); translation from Mat. Sb., Nov. Ser. 136(178), No. 1(5), 128-139 (1988).

Summary: It is shown that, if a generating manifold \(M\subset {\mathbb{C}}^ n\) does not contain proper submanifolds of the same CR dimension as M, then all CR functions can be extended from M into some wedge with edge M. In particular, extension of all CR functions into a wedge necessarily obtains for manifolds of finite type.

MSC:

58C25	Differentiable maps on manifolds
58K99	Theory of singularities and catastrophe theory
32D15	Continuation of analytic objects in several complex variables
32A99	Holomorphic functions of several complex variables

Keywords:

extension of CR functions