34 citations · 50 across the 22 of their papers we have counts for
3 papers · 1 filter
Sub-exponentially localized kernels and frames induced by orthogonal expansions
Kamen Ivanov, Pencho Petrushev, Yuan Xu
The aim of this paper is to construct sup-exponentially localized kernels and frames in the context of classical orthogonal expansions, namely, expansions in Jacobi polynomials, sp…
Inversion of noisy Radon transform by SVD based needlet
Gérard Kerkyacharian, George Kyriazis, Erwan Le Pennec +2
A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon t…
Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions
G. Kerkyacharian, P. Petrushev, D. Picard +1
A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Be…