Yuan Xu

Yuan Xu is a Professor of Mathematics at the University of Oregon's Department of Mathematics, part of the College of Arts and Sciences. His research focuses on analysis, approximation theory, harmonic analysis, orthogonal polynomials, numerical analysis, and special functions, with an emphasis on higher-dimensional problems such as multivariate approximation and orthogonal polynomials of several variables. He has authored or co-authored multiple books and over 200 journal articles, including works on constructive approximation, Fourier analysis, and special functions.

Notable contributions include advancements in orthogonal polynomials, cubature formulas, and approximation theory. Xu serves on the editorial boards of prestigious journals like Constructive Approximation, Journal of Approximation Theory, and Proceedings of the American Mathematical Society. His research spans theoretical developments and applications in numerical analysis, with a focus on geometric and algebraic structures in polynomial systems.

Publications highlight contributions to multivariate orthogonal polynomials, Fourier analysis on non-standard domains, and approximation on spheres and balls. He has also edited memorial volumes for prominent mathematicians like Donald Newman and Ward Cheney.