Revistes Catalanes amb Accés Obert (RACO)

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

A. B. Sekerin

Resum


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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