Geodesic
Harmonic functions representable by integrals of Green type. I
Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 139-149 
E. D. Solomentsev. Harmonic functions representable by integrals of Green type. I. Izvestiya. Mathematics, Tome 1 (1967) no. 1, pp. 139-149. http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $S$.

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