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

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
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