Y
Yuan Xu
Researcher at University of Oregon
Publications - 314
Citations - 7433
Yuan Xu is an academic researcher from University of Oregon. The author has contributed to research in topics: Orthogonal polynomials & Unit sphere. The author has an hindex of 40, co-authored 302 publications receiving 6804 citations. Previous affiliations of Yuan Xu include University of Southern Indiana & Temple University.
Papers
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Book
Orthogonal Polynomials of Several Variables
Charles F. Dunkl,Yuan Xu +1 more
TL;DR: In this article, the authors considered the properties of orthogonal polynomials on the unit sphere, root systems and Coxeter groups, and the Summability of Orthogonal expansions.
Book
Approximation Theory and Harmonic Analysis on Spheres and Balls
TL;DR: In this paper, Jacobi and Jacobi gave a distance, difference and integral formulae for spherical harmonic analysis on the Simplex and the unit ball, as well as a weighted best approximated best approximation by polynomials.
Journal ArticleDOI
Convolution operator and maximal function for the Dunkl transform
Sundaram Thangavelu,Yuan Xu +1 more
TL;DR: For a family of weight functions H K invariant under a finite reflection group on R d, analysis related to the Dunkl transform is carried out for the weightedL p spaces in this article.
Journal ArticleDOI
On multivariate Lagrange interpolation
Thomas Sauer,Yuan Xu +1 more
TL;DR: In this article, a finite difference approach for Lagrange interpolation by polynomials in several variables is studied, and an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences, are established.