Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 205-212
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S. I. Pinchuk. A boundary uniqueness theorem for holomorphic functions of several complex variables. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 205-212. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a3/
@article{MZM_1974_15_2_a3,
author = {S. I. Pinchuk},
title = {A~boundary uniqueness theorem for holomorphic functions of several complex variables},
journal = {Matemati\v{c}eskie zametki},
pages = {205--212},
year = {1974},
volume = {15},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a3/}
}
TY - JOUR
AU - S. I. Pinchuk
TI - A boundary uniqueness theorem for holomorphic functions of several complex variables
JO - Matematičeskie zametki
PY - 1974
SP - 205
EP - 212
VL - 15
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a3/
LA - ru
ID - MZM_1974_15_2_a3
ER -
%0 Journal Article
%A S. I. Pinchuk
%T A boundary uniqueness theorem for holomorphic functions of several complex variables
%J Matematičeskie zametki
%D 1974
%P 205-212
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a3/
%G ru
%F MZM_1974_15_2_a3
If $D\subset C^n$ is a region with a smooth boundary and $M\subset\partial D$ is a smooth manifold such that for some point $p\in M$ the complex linear hull of the tangent plane $T_p(M)$ coincides with $C^n$, then for each function $f\in A(D)$ the condition $f\mid_m=0$ implies that $f\equiv0$ in $D$.
