HARMONIC FUNCTIONS REPRESENTABLE BY INTEGRALS OF GREEN TYPE. I
E. D. Solomencev · Mathematics of the USSR-Izvestiya · 1967
We introduce the concepts of an integral of Green-Lebesgue type and the integral of Green-Lebesgue which generalizes the classical representation of a harmonic function inside a closed surface S by means of Green's formula. We give conditions for representability of a harmonic function by integrals of the above types. In this part of the work we consider the case of the unit sphere S.