Gergün, S.Ostrovskii, I.2019-02-042019-02-0420021617-9447http://hdl.handle.net/11693/48794New conditions for the validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior on the real axis.EnglishCompactnessGreen functionNevanlinna formulaPhragmen - Lindel of PrinciplePoisson integralSubharmonic functionOn the Poisson representation of a function harmonic in the upper half-planeArticle2195-3724