Analytic representation of $CR$-functions

E. M. Chirka

Sbornik. Mathematics, Tome 27 (1975) no. 4, pp. 526-553

Résumé

The author derives a representation for functions satisfying the tangential Cauchy–Riemann equations on a real hypersurface in $\mathbf C^n$ in terms of a “jump” in the boundary values of certain analytic functions. This representation is then applied to local and global problems in holomorphic extension from the hypersurface, to the problem of polynomial approximation, and to a curvilinear “edge of the wedge” theorem. Bibliography: 25 titles.

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