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math.CA2018
Nonlinear -term approximation of harmonic functions from shifts of the Newtonian Kernel
Kamen Ivanov, Pencho Petrushev
A basic building block in Classical Potential Theory is the fundamental solution of the Laplace equation in (Newtonian kernel). The main goal of this article is to…
math.CA2018★ 1 cited
Highly localized kernels on the sphere induced by Newtonian kernels
Kamen Ivanov, Pencho Petrushev
The purpose of this article is to construct highly localized summability kernels on the unit sphere in that are restrictions to the sphere of linear combinations of…