# On one representation of analytic functions by harmonic functions

@article{Karachik2008OnOR,
title={On one representation of analytic functions by harmonic functions},
author={V. Karachik},
year={2008},
volume={18},
pages={103-117}
}
• V. Karachik
• Published 2008
• Mathematics
AbstractLet u(x) be a function analytic in some neighborhood D about the origin, $$\mathcal{D}$$ ⊂ ℝn. We study the representation of this function in the form of a series u(x) = u0(x) + |x|2u1(x) + |x|4u2(x) + …, where uk(x) are functions harmonic in $$\mathcal{D}$$. This representation is a generalization of the well-known Almansi formula.
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