Course Description and Grading BreakdownThis course will cover harmonic analysis and a bit of spectral theory. There will be four parts 1. Classical Fourier series 2. Basic harmonic analysis: (Maximal function, Hilbert transform, BMO, weights)3. Spectral theorem 4. Littlewood Paley theory and applications. The grades will be determined by 4 problem sets, one on each part. The course will run only nine weeks because graduate students must work on qualifying exams in the tenth.Course Meeting Time and LocationMonday, Wednesday and Friday 11:00 - 11:55 am B127 Gates Chemical Laboratory (Building 26) Course Instructor Contact Information and Office Hours276 Cahill Center for Astronomy and Astrophysics, Office hours Wednesday 1:30-2:30 TA Contact Information and Office Hours2-B Math Building, Office Hours Saturday 6-7 Course Schedule and Textbook
Course PoliciesLate work - Assignments
Midterm and Final ExamCollaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |