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

A. B. Sekerin (1996)

Collectanea Mathematica

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.

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