627 - Introduction to Fourier Analysis
Prerequisites:
Math 521 or consent by the instructor.
Frequency:
Fall (I)
Student Body:
Students planning further studies in analysis, probability, or statistics.
Credits:
3. (N-A) Recent Texts:
E.M. Stein and R. Shakarchi, Fourier Analysis, Princeton University Press.
Course Coordinator:
Andreas Seeger Background and Goals:
Math 627 is an introductory course in Fourier Analysis. It should be useful especially for those students who plan to enter graduate studies in mathematics.
Alternatives:
N/A
Subsequent Courses:
Graduate courses in mathematics Course Content:
- Motivation:
- Properties of Fourier series.
- More on convergence of Fourier series.
- Applications of Fourier series.
- The Fourier transform on the real line.
- The Fourier and Radon transforms in R^d.