Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.

Sekerin, A. B.. "Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.." Collectanea Mathematica 47.2 (1996): 187-206. <http://eudml.org/doc/40228>.

@article{Sekerin1996,
abstract = {The necessary and sufficient condition that a given plurisubharmonic or a subharmonic function admits the representation by the logarithmic potential (up to pluriharmonic or a harmonic term) is obtained in terms of the Radon transform. This representation is applied to the problem of representation of analytic functions by products of primary factors.},
author = {Sekerin, A. B.},
journal = {Collectanea Mathematica},
keywords = {Función subarmónica; Funciones analíticas; Teoría del potencial; Funciones de variable compleja; Funciones de varias variables; representation of functions; logarithmic potential; plurisubharmonic function; subharmonic function; generalized Radon transform; reducibility problem for analytic functions},
language = {eng},
number = {2},
pages = {187-206},
title = {Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.},
url = {http://eudml.org/doc/40228},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Sekerin, A. B.
TI - Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 2
SP - 187
EP - 206
AB - The necessary and sufficient condition that a given plurisubharmonic or a subharmonic function admits the representation by the logarithmic potential (up to pluriharmonic or a harmonic term) is obtained in terms of the Radon transform. This representation is applied to the problem of representation of analytic functions by products of primary factors.
LA - eng
KW - Función subarmónica; Funciones analíticas; Teoría del potencial; Funciones de variable compleja; Funciones de varias variables; representation of functions; logarithmic potential; plurisubharmonic function; subharmonic function; generalized Radon transform; reducibility problem for analytic functions
UR - http://eudml.org/doc/40228
ER -