5 citations · 18 across the 26 of their papers we have counts for
4 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…
Cesàro means of Jacobi expansions on the parabolic biangle
Wolfgang zu Castell, Frank Filbir, Yuan Xu
We study Cesàro means for two-variable Jacobi polynomials on the parabolic biangle . Using the product formula de…
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…
Fourier series and approximation on hexagonal and triangular domains
Yuan Xu
Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Cesàro summability of Fourier series, degre…