Department of Mathematics

Fourier Analysis, MTH 496-001

Instructor: Mark Iwen
Time and Place: Lectures are MWF 9:10 am -- 10:00 am, in Wells Hall A216
E-mail: markiwen@math.msu.edu
Office: D220 WH
Office Hours: Monday 10:00 am -- 11:00 am, Tuesday 10:30 am -- 11:30 am, and Wednesday 10:00 am -- 11:00 am

We will discuss Discrete Fourier Transforms, the Fast Fourier Transform (FFT) algorithm, Fourier series, Orthogonal Functions, Inner Product Spaces, Convergence issues, The Fourier Transform, Distributions, and Time-Frequency Analysis.

Course website for MTH 496-001:

http://math.msu.edu/~markiwen/Teaching/MTH496/MTH496_S23.html

The course website is mandatory reading for the course. On it you will find the course schedule, the syllabus, and supplementary reading. Homework assignments will be posted on the schedule.

Textbook:

Fourier Analysis and Its Applications, by Gerald B. Folland.
International Thompson Publishing Company, 1992.

The majority of the course will be spent covering Chapters 2, 3, 7, and 9 of Folland's book.

Supplementary Texts:

We will also utilize material from Foundations of Time-Frequency Analysis by Karlheinz Gröchenig, as well as from other pdf sources provided by the instructor on D2L. It's not necessary to buy either of these books (though both are good).

Syllabus and Course Information

Course Schedule and Homework Assignments