%0 Journal Article
%T Integral representations for harmonic and biharmonic functions in the unit ball (in Russian)
%A O. E. Yaremko
%J Matematychni Studii
%D 2013
%I Lviv Mathematical Society, VNTL Publishers
%X In the paper an analytical solution of the analytic continuation problem in the unit N-dimensional ball by its values on the inner sphere is found. A generalization of the classical Poisson formula is obtained. A solution of the similar analytic continuation problem for certain known operator expressions of a given potential on the inner sphere is obtained. A new result of the moment problem making a connection between the moment problem on a segment and on the half-axis is found.
%K extension problem
%K Poisson formula
%K moment problems
%K biharmonic function
%K harmonic function
%K unit ball
%U http://matstud.org.ua/texts/2013/39_1/67-73.pdf