MAT 401: Seminar in Mathematics (Fourier Analysis)

Fall 2012

Christopher Bishop

Professor, Mathematics
SUNY Stony Brook

Office: 4-112 Mathematics Building
Phone: (516)-632-8274
Dept. Phone: (516)-632-8290
FAX: (516)-632-7631

MWF 10:00am to 10:53am, Math 4-130

Final Exam 8:00am to 10:45am Monday, December 17

We will follow the book `Fourier Analysis' by Tom Korner, published by Cambridge University Press. This presents a wide variety of topics in Fourier analysis including Fourier series and transforms, differential equations, Brownian motion, orthogonal functions, statistics, history and various applications. The text is rigourous but fairly self-contained and broken into 110 short sections, each about 5 pages long.

I will start by giving a few lectures on the initial sections, but after a week or two will assign sections to students to present in class. Only certain sections will be presented in class; however, the others should be read and will be discussed if questions arise. I hope we can get through about 30 sections of the book. Below is a tentative schedule for this which probably change as the semester progresses. Everyone enrolled should carfully read the sections before they are covered in class.

Grades will be based on oral persentations of text material in class; an oral and written report on a subject of the students choosing (related to the course topic and subject to intructor's approval); problem sets and/or take home exam based on textbook.

Send the lecturer (C. Bishop) email at: bishop - at -

Send email to the whole class ((C. Bishop and students) class list

Here is a list of the section assigments so far, section assignments

Mon, Aug 27: Chap 1: introduction, definition of Fourier Series (Bishop)

Wed, Aug 29: Chap 2: Cesaro mean, Fejer's theorem (Bishop)

Fri, Aug 31: Chap 2: Fejer's theorem continued (Bishop)

Mon, Sept 3: no class

Wed, Sept 5: Chap 3: Weyl's equidistribution (Bishop)

Fri, Sept 7: Chap 4: Weierstrass approximation (Bishop)

Link to history of mathematics There are a lot of iteresting articles here. If you know of other math related sites I should link to, let me know.