P. Petrushev

activity

20052009

most citedSub-exponentially localized kernels and frames induced by orthogonal expansions

1 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2007Show all

2 papers · 1 filter

math.CA2007

Decomposition of spaces of distributions induced by Hermite expansions

Pencho Petrushev, Yuan Xu

Decomposition systems with rapidly decaying elements (needlets) based on Hermite functions are introduced and explored. It is proved that the Triebel-Lizorkin and Besov spaces on $…

math.CA2007★ 1 cited

Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball

G. Kyriazis, P. Petrushev, Yuan Xu

Weighted Triebel-Lizorkin and Besov spaces on the unit ball $B^{d}$ in $\Rd$ with weights $\W(x)= (1-|x|^2)^{μ-1/2}$, $μ \geq 0$ , are introduced and explored. A decomposition scheme is…