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

Collectanea Mathematica (1996)

- Volume: 47, Issue: 2, page 187-206
- ISSN: 0010-0757

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topSekerin, 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 -

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