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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 de?ned 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 di?erence between X and `p?

   If considering a formal power series as a power series in (1), what is the di?erence 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

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