Fourier Analysis Seminar, Autumn and Winter 2012

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Coordinator: Li Shizhang(李时璋)
Email: LISHIZHANGPOPE AT 163 DOT COM
Textbook: Fourier Analysis, by Ellias M. Stein

Schedule: 2012.09.23. - 2013.01.06. Sunday Afternoon, 18:00 - 21:00, 紫金港东6-415

09.30. Chapter1 The genesis of Fourier analysis, first half, Speaker: 李时璋

10.14. Chapter 1 The genesis of Fourier analysis, second half; Exercises and problems, Speaker: 李时璋

10.21. Chapter 2 Basic properties of Fourier analysis, first half, Speaker: 陈俊杰

10.28. Chapter 2 Basic properties of Fourier analysis, second half; Exercises and problems Speaker: 肖羚晏

11.04. Chapter 3 Convergence of Fourier series, first half, Speaker: 雷宇环

11.18. Chapter 3 Convergence of Fourier series, second half; Exercises and problems, Speaker: 郑虎

11.25. Chapter 4 Some applications of Fourier series, first half, Speaker: 陈俊杰

12.02. Chapter 4 Some applications of Fourier series, second half; Exercises and problems, Speaker: 刘远通

12.09. Chapter 5 The Fourier transform on R, first third, Speaker: 雷宇环

12.16. Chapter 5 The Fourier transform on R, second third, Speaker: 罗之麟

12.23. Chapter 5 The Fourier transform on R, last third; Exercises and problems, Speaker: 郑虎

12.30. Chapter 6 The Fourier transform on R^d, first half, Speaker: 陈俊杰

01.06. Chapter 6 The Fourier transform on R^d, second half; Exercises and problems, Speaker: 郑虎

If you want to participate in the seminar, please contact the coordinator.

There will be two speakers in each session. Besides presentations, much time will be spent in solving the exercises and the problems at the end of each chapter.

Confirmed Participants:

Liu Yuantong(刘远通) LIUTONG3246129 AT 163 DOT COM
Zheng Hu(郑虎) FREETIGER18 AT GMAIL DOT COM
Luo Zhilin(罗之麟) ZHLN.L AT LIVE DOT COM
Xiao Lingyan(肖羚晏) ALWH2008 AT 163 DOT COM
Chen Junjie(陈俊杰) 3110102415 AT ZJU DOT EDU DOT CN
Lei Yuhuan(雷宇环) LEIYUHUAN01 AT QQ DOT COM

For Freshmen and New-comers

Objectives of the seminar

To get acquainted with abstract ideas and the abstract ways of thinking in mathematics.
To learn how to express mathematical ideas precisely and lucidly
To learn how to self-study.
To learn how to communicate mathematically and exchange ideas with others.

On the presentations

1. Each presentation should be meticulously prepared, not only by the speaker, but also by the audience (in order to understand the talk).

2. Because of the time limit, you have to tailor the contents. Focus on the most central and essential ideas and leave out the secondary stuffs.

3. Definitions and theorems should always be stated clearly, precisely, and concisely.

4. Do not try to give all the details of a proof unless it involves useful techniques or it is very interesting. Just sketch the main line of thought.

5. Be prepared to answer and discuss any question posed by the audience.