Geodesic
On the method of spherical harmonics for subharmonic functions
Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 133-148

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A new criterion for completely regular growth of a subharmonic function in $\mathbf R^m$, $m\geqslant3$, is established in terms of spherical harmonics, and a sharp upper bound for the deficiency of such a function is found. From the expansion of a subharmonic function on the unit sphere $S^m$ in a Fourier–Laplace series the author shows that the function belongs to the space $L^2(S^m)$ for $m=3,4$. Bibliography: 23 titles. 
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     author = {A. A. Kondratyuk},
     title = {On the method of spherical harmonics for subharmonic functions},
     journal = {Sbornik. Mathematics},
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     volume = {44},
     number = {2},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_44_2_a0/}
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A. A. Kondratyuk. On the method of spherical harmonics for subharmonic functions. Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 133-148. http://geodesic.mathdoc.fr/item/SM_1983_44_2_a0/