Integral representations for harmonic and biharmonic functions in the unit ball (in Russian)
Journal: Matematychni Studii (Vol.39, No. 1)Publication Date: 2013-01-01
Authors : Yaremko O. E.;
Page : 67-73
Keywords : extension problem; Poisson formula; moment problems; biharmonic function; harmonic function; unit ball;
Abstract
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.
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Last modified: 2014-01-13 20:09:00