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.
@article{urn:eudml:doc:40228,
title = {Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.},
journal = {Collectanea Mathematica},
volume = {47},
year = {1996},
pages = {187-206},
zbl = {0854.31004},
mrnumber = {MR1402069},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40228}
}
Sekerin, A. B. Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.. Collectanea Mathematica, Tome 47 (1996) pp. 187-206. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40228/