2018
Том 70
№ 9

All Issues

On the approximation and growth of entire harmonic functions in $R_n$

Veselovskaya O. V.


Abstract

We establish a criterion of extendability of harmonic function in a ball of the $n$-dimensional space to harmonic entire function and study the growth of entire harmonic function in terms of the best approximation of these function by harmonic polynomials.

Citation Example: Veselovskaya O. V. On the approximation and growth of entire harmonic functions in $R_n$ // Ukr. Mat. Zh. - 2018. - 70, № 4. - pp. 464-470.