P. Petrushev

activity

20052025

most citedNeedlet algorithms for estimation in inverse problems

34 citations · 50 across the 22 of their papers we have counts for

collaborators

Showing 2006Show all

2 papers · 1 filter

math.CA2006

Localized polynomial frames on the ball

Pencho Petrushev, Yuan Xu

Almost exponentially localized polynomial kernels are constructed on the unit ball $B^{d}$ in $\RR^d$ with weights %functions $W_{μ} (x) = (1 - ∣ x ∣^{2})^{μ - 1/2}$ , $μ \geq 0$ , by smoothing out…

math.CA2006★ 1 cited

Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces

George Kyriazis, Pencho Petrushev, Yuan Xu

The Littlewood-Paley theory is extended to weighted spaces of distributions on $[- 1, 1]$ with Jacobi weights $ \w(t)=(1-t)^α(1+t)^β. $ Almost exponentially localized polynomial elem…