Representation of functions by logarithmic potential and reducibility of analytic functions of several variables
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A. B. Sekerin
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.
functions by products of primary factors.
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Sekerin, A. B. “Representation of functions by logarithmic potential and reducibility of analytic functions of several variables”. Collectanea Mathematica, vol.VOL 47, no. 2, pp. 187-06, https://raco.cat/index.php/CollectaneaMathematica/article/view/56336.
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