Analytic representation of $CR$-functions
Sbornik. Mathematics, Tome 27 (1975) no. 4, pp. 526-553
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SM_1975_27_4_a5,
author = {E. M. Chirka},
title = {Analytic representation of $CR$-functions},
journal = {Sbornik. Mathematics},
pages = {526--553},
publisher = {mathdoc},
volume = {27},
number = {4},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1975_27_4_a5/}
}
E. M. Chirka. Analytic representation of $CR$-functions. Sbornik. Mathematics, Tome 27 (1975) no. 4, pp. 526-553. http://geodesic.mathdoc.fr/item/SM_1975_27_4_a5/