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澳门太阳集团官方网址美国摩根州立大学Xiao-Xiong Gan教授讲座的通知

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.

A. Professional Preparation

Ph.D.   1992, Mathematics, Kansas State University, USA

Dissertation: An Approximate Antigradient and Marcinkiewicz Problem.

M.S.    1985, Applied Mathematics, Chinese Academy of Sciences, China.

Thesis: Optimal Designing of Zhunger Coal Mining.

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).

2019年3月19日

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