报告题目: When Askey-Wilson Operator Meets the Sampling Theorem (当Askey-Wilson算子遇上了采样定理)
报告时间: 2018年11月22日 (周三) 上午 10:00-11:30
报告地点: 数学院一楼小报告厅 (145室)
报告内容: Askey-Wilson operator was introduced by Richard Askey and James Wilson when they studied a special family of orthogonal polynomials now referred as to the Askey-Wilson polynomials. The operator is a divided difference version of derivative and it plays the role of differentiation as in the study of classical orthogonal polynomials (such as the Hermite and Jacobi polynomials). The Sampling Theorem allows us to recover a bounded, band-limited function on the real line by its values at discrete points. The theorem plays a fundamental role in the digital revolution. In this talk, I will report on recent new results when Askey-Wilson operator and the Sampling Theorem are used together in deriving and extending some important identities and inequalities in special functions and approximation theory.
报告人简介: Dr. Xin Li (李欣教授) obtained his B.S. degree from Zhejiang University (浙江大学) in 1983 and became a M.S. student of Professor Zhurui Guo (郭竹瑞先生) and Professor Zhen Sha （沙震教授）. After he completed his Master degree in 1986, he directly went on to pursuing his Ph. D. degree under the supervision of Dr. E.B. Saff in the University of South Florida in the United States, focusing his research on the topics in Approximation Theory in the complex plane. He obtained his Ph. D degree in 1989 and became a faculty member in 1990 at the University of Central Florida, where he received his tenure in 1995 and his promotion to the full professorship in 2001. He served as the Graduate Coordinator from 2006-2012 and has served as the Chair of the Department of Mathematics since 2014. Dr. Li has over 80 publications (80篇以上论文) in Analysis, Statistics, and Computer Vision, and one edited volume (“Frontier in Orthogonal Polynomials and q-Series” (Z. Nashed and X. Li eds.) just published by World Scientific in 2018). His research and education activities have been funded throughout the years by the National Science Foundation, the Florida Department of Transportation, and Industries for a total of about $1.87 million dollars. He was awarded three times the Teaching Incentive Award for his effort and achievements in teaching and supervising undergraduate and graduate students.