Browsing by Subject "Nevanlinna formula"

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    On the Poisson representation of a function harmonic in the upper half-plane
    (Springer, 2002) Gergün, S.; Ostrovskii, I.
    New 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.