A class of functions containing polyharmonic functions in ℝⁿ

V. Anandam, and M. Damlakhi. "A class of functions containing polyharmonic functions in ℝⁿ." Annales Polonici Mathematici 82.3 (2003): 241-250. <http://eudml.org/doc/280345>.

@article{V2003,
abstract = {Some properties of the functions of the form $v(x) = ∑_\{i=0\}^m |x|^ih_i(x)$ in ℝⁿ, n ≥ 2, where each $h_i$ is a harmonic function defined outside a compact set, are obtained using the harmonic measures.},
author = {V. Anandam, M. Damlakhi},
journal = {Annales Polonici Mathematici},
keywords = {harmonic functions; superharmonic functions; subharmonic functions; Liouville-Picard theorem; Radon measure; logarithmic kernel; Newtonian kernel},
language = {eng},
number = {3},
pages = {241-250},
title = {A class of functions containing polyharmonic functions in ℝⁿ},
url = {http://eudml.org/doc/280345},
volume = {82},
year = {2003},
}

TY - JOUR
AU - V. Anandam
AU - M. Damlakhi
TI - A class of functions containing polyharmonic functions in ℝⁿ
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 3
SP - 241
EP - 250
AB - Some properties of the functions of the form $v(x) = ∑_{i=0}^m |x|^ih_i(x)$ in ℝⁿ, n ≥ 2, where each $h_i$ is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
LA - eng
KW - harmonic functions; superharmonic functions; subharmonic functions; Liouville-Picard theorem; Radon measure; logarithmic kernel; Newtonian kernel
UR - http://eudml.org/doc/280345
ER -