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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

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math.CA2008★ 1 cited

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…

math.CA2008

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…