Yuan Xu

Yuan Xu

Yuan Xu
University of Oregon US

Yuan Xu received his Ph.D from Temple University in Philadelphia. He has a BSc in Mathematics from the Northwestern University in China and a MS in Applied Mathematics from the BeiJing University of Aeronautics & Astronautics.

He is a professor in the Department of Mathematics, University of Oregon, and held prior positions in University of Texas at Austin, University of Arkansas at Little Rock. Besides several short visiting positions, he spent a year in University of Erlangen-Nuremberg (1993-94) as a recipient of a research fellowship by Alexander von Humboldt Foundation and a year as a visiting professor in the University of Virginia. In 2009, he received a Faculty Excellent Award at the University of Oregon.

Yuan Xu serves on editorial boards of several international journals. He has been a plenary or invited speaker in numerous international conferences, meetings and workshops. He was the co-inventor of 7 patents, has published 3 books and more than 180 papers.

RESEARCH STAY AT UC3M: DEPARTMENT OF MATHEMATICS.

Project: Study orthogonal polynomials of several variables in both continuous and discrete settings and study, in particular, the Sobolev orthogonal polynomials on regular domains. For special weight functions, explore the connection between cubature rules and common zeros of orthogonal polynomials.

In the context of approximation theory and harmonic analysis, investigate orthogonal expansions of several variables. One particular interesting problem is the uncertainty principles for regular domains in Euclidean spaces and various related inequalities. Another problem is polynomial approximation in the Sobolev spaces.

Stay period: OCT 2013 - MAR 2014