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

  • O. V. Veselovskaya

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.
Published
25.04.2018
How to Cite
VeselovskayaO. V. “On the Approximation and Growth of Entire Harmonic Functions in $R_n$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 4, Apr. 2018, pp. 464-70, http://umj.imath.kiev.ua/index.php/umj/article/view/1568.
Section
Research articles