34 citations · 50 across the 22 of their papers we have counts for
23 papers
Nonlinear approximation of harmonic functions from shifts of the Newtonian kernel in BMO
Kamen G. Ivanov, Pencho Petrushev
We study nonlinear n-term approximation of harmonic functions on the unit ball in from linear combinations of shifts of the Newtonian kernel (fundamental solution of the Lapl…
Spaces of distributions on product metric spaces associated with operators
Athanasios G. Georgiadis, George Kyriazis, Pencho Petrushev
We lay down the foundation of the theory of spaces of distributions on the product of doubling metric measure spaces , in the presence of non-negative se…
Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications
Aline Bonami, Gerard Kerkyacharian, Pencho Petrushev
Gaussian upper and lower bounds and Hölder continuity are established for the heat kernel associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results a…
Nonlinear spline approximation in
Kamen G. Ivanov, Pencho Petrushev
We study nonlinear approximation in from splines generated by a hierarchy of B-splines over regular multilevel nested partitions of . Companion Jack…
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…
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…