Geodesic
On One Representation of Analytic Functions by Harmonic Functions
Matematičeskie trudy, Tome 10 (2007) no. 2, pp. 142-162

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Let $u(x)$ be a function analytic in some neighborhood $\mathcal D$ about the origin, $\mathcal D\subset\Bbb R^n$. We study the representation of this function in the form of a series $u(x)=u_0(x)+|x|^2u_1(x)+|x|^4u_2(x)+\dotsb$, where $u_k(x)$ are functions harmonic in $\mathcal D$. This representation is a generalization of the well-known Almansi formula. 
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     author = {V. V. Karachik},
     title = {On {One} {Representation} of {Analytic} {Functions} by {Harmonic} {Functions}},
     journal = {Matemati\v{c}eskie trudy},
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V. V. Karachik. On One Representation of Analytic Functions by Harmonic Functions. Matematičeskie trudy, Tome 10 (2007) no. 2, pp. 142-162. http://geodesic.mathdoc.fr/item/MT_2007_10_2_a5/