TY - JOUR
AU - A. V. Pokrovskii
PY - 2020/03/28
Y2 - 2020/10/02
TI - A note on the removability of totally disconnected sets for analytic functions
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 3
SE - Short communications
DO - 10.37863/umzh.v72i3.6046
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6046
AB - UDC 517.537.38We prove that each totally disconnected closed subset $E$ of a domain $G$ in the complex plane is removable for analytic functions $f(z)$ defined in $G\setminus E$ and such that for any point $z_0\in E$ the real or imaginary part of $f(z)$ vanishes at $z_0$.
ER -