Geodesic
Extension of CR-functions from piecewise smooth CR-manifolds
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 111-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article is devoted to the locally polynomially convex hull of a CR-manifold. 1) An “edge of the wedge” type theorem is obtained for piecewise smooth CR-manifolds in $\mathbf C^n$. 2) It is shown that a CR-manifold of class $C^1$ is locally polynomially convex if and only if in a neighborhood of each point it foliates into complex analytic submanifolds of maximal possible dimension. 3) It is shown that only locally polynomially convex CR-manifolds are examples of manifolds on which the tangential Cauchy–Riemann equations $\overline\partial u=f$ are solvable locally for any $\overline\partial$-closed form $f$. Bibliography: 16 titles. 
@article{SM_1989_62_1_a6,
     author = {R. A. Airapetyan},
     title = {Extension of {CR-functions} from piecewise smooth {CR-manifolds}},
     journal = {Sbornik. Mathematics},
     pages = {111--120},
     year = {1989},
     volume = {62},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1989_62_1_a6/}
}
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R. A. Airapetyan. Extension of CR-functions from piecewise smooth CR-manifolds. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 111-120. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a6/

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