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Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
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 -