Cornell Math - MATH 715, Spring 2007

MATH 715: Fourier Analysis (Spring 2007)

Instructor: Camil Muscalu

Meeting Time & Room

The goal of the class is to present some of the most fundamental ideas of classical harmonic analysis. The topics I have in mind to cover include interpolation, Calderón-Zygmund theory, Littlewood-Paley theory, various function spaces and estimates which are useful in PDE, etc. Some applications to problems in geometric measure theory, complex analysis, PDE and ergodic theory, will also be given. I had this class two years ago, but this time I plan to follow a different route. I shall mostly rely on two distinct sets of lecture notes, one of Wilhelm Schlag and one of Terry Tao. From time to time, I will deviate from them and use other sources including some personal notes.