Math 827: Fourier Analysis
Prerequisites:
Basic real analysis graduate courses
Instructor:
Andreas Seeger
Time and Place:
MWF 11-11:50am
textbooks:
No official textbook. There are good references online, for example manuscripts by Wolff and by Schlag.
Course Content:
This is an introductory course in Fourier analysis.Topics include the basic theory of the Fourier transform, Fourier multipliers, singular integrals and differentiability properties of functions,function spaces, uncertainty principle, stationary phase method and oscillatory integrals, Fourier restriction theorems and applications. There may be time for more advanced topics in the second half of the class (suggestions of students are welcome).