Geodesic
Existence of boundary values of polyharmonic functions
Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 735-757

Voir la notice de l'article provenant de la source Math-Net.Ru

A necessary and sufficient condition for the existence of a limit in mean square at the boundary is established for a polyharmonic function in a ball. Bibliography: 15 titles.
Keywords: polyharmonic function, boundary value, spherical harmonic, solid spherical harmonic. 
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     title = {Existence of boundary values of polyharmonic functions},
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V. P. Mikhailov. Existence of boundary values of polyharmonic functions. Sbornik. Mathematics, Tome 201 (2010) no. 5, pp. 735-757. http://geodesic.mathdoc.fr/item/SM_2010_201_5_a5/