Continuation of analytic and pluriharmonic functions in the given direction by the Chirka method: a~survey
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 83-94
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In this paper, we provide a survey of results on analytic and plurisubharmonic continuations of functions that have this set of singularities along a fixed direction. We show the advantages of using the pluripotential theory and the Jacobi–Hartogs series for description of the singular set of such functions.
@article{CMFD_2019_65_1_a7,
author = {A. Sadullaev},
title = {Continuation of analytic and pluriharmonic functions in the given direction by the {Chirka} method: a~survey},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {83--94},
publisher = {mathdoc},
volume = {65},
number = {1},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a7/}
}
TY - JOUR AU - A. Sadullaev TI - Continuation of analytic and pluriharmonic functions in the given direction by the Chirka method: a~survey JO - Contemporary Mathematics. Fundamental Directions PY - 2019 SP - 83 EP - 94 VL - 65 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a7/ LA - ru ID - CMFD_2019_65_1_a7 ER -
%0 Journal Article %A A. Sadullaev %T Continuation of analytic and pluriharmonic functions in the given direction by the Chirka method: a~survey %J Contemporary Mathematics. Fundamental Directions %D 2019 %P 83-94 %V 65 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a7/ %G ru %F CMFD_2019_65_1_a7
A. Sadullaev. Continuation of analytic and pluriharmonic functions in the given direction by the Chirka method: a~survey. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 83-94. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a7/