报告题目：An Introduction to Formal Analysis
报告人：Xiao-Xiong Gan
报告时间：2019年3月20日下午14:30——16:00
报告地点：理学院10号教学楼415会议室
报告摘要：For any 
, a formal power series on a ring S is defined to be a mapping from 
to S. A formal power series f in x from N to S is usually denoted as a sequence 
or as a power series
（1）
where 
for every j ∈N∪{0}. The set of all formal power series on S is denoted by X(S).
If considering a formal power series as a sequence, what is the difference between X and `p?
If considering a formal power series as a power series in (1), what is the difference or relationship between formal power series and the traditional power series?
Why shall we study formal power series ?
What is formal analysis?
This talk tries to answer those questions and brings discussion of all kinds of questions about formal anaysis, a relatively new mathematical subject.
报告人简介：
A. Professional Preparation
Ph.D. 1992, Mathematics, Kansas State University, USA
Dissertation: An Approximate Antigradient and Marcinkiewicz Problem.
Advisor: Professor Karl Stromberg
M.S. 1985, Applied Mathematics, Chinese Academy of Sciences, China.
Thesis: Optimal Designing of Zhunger Coal Mining.
Advisor: Professor Loo-Keng Hua (华罗庚)
B.S. 1982, Mathematics, Central China Normal University, Wuhan, China.
B. Appointments
1. Professor of Mathematics and Graduate Coordinator, Department of
Mathematics, Morgan State University, Baltimore, Maryland 21251,USA
2. Oversee Professor, Hua Loo-Keng Center, Chinese Academy of
Sciences, Beijing, China.
C. Main Mathematical Contributions
1. Invented the Formal Analysis.
2. Solved the Marcinkiewicz Universal Function problem in higher dimensional space (with K. Stromberg).
3. Introduced the JIT-Transportation Model and it Algorithm (with G. Bai)
4. Introduced the General Composition Theorem for formal power series (with N. Knox).
5. Introduced the Space of Formal Laurent Series (with D. Bugajewski).
6. Boundary convergence of power series (with D. Bugajewski).
理学院
2019年3月19日
