34 citations · 50 across the 22 of their papers we have counts for
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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…
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…
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators
Athanasios G. Georgiadis, Gerard Kerkyacharian, George Kyriazis +1
We deal with homogeneous Besov and Triebel-Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kern…
Gaussian bounds for the heat kernels on the ball and simplex: Classical approach
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and simplex in generated by classical differential operators whose eigenfunc…