Topics in Harmonic Analysis


Course Meeting Time and Location
Tuesday and Thursday
2:30 - 3:55 pm
104 Math Building (Building 15)


Course Instructor Contact Information and Office Hours
122 Math Building (Building 15)
E-mail: durcik at caltech dot edu
Office hours: By appointment


Course Description
We will discuss some topics from classical and multilinear harmonic analysis.
Related keywords are paraproducts, T(1) and T(b) theorems.


Prerequisites: The Fourier transform, Lp spaces.

References:

J.
Duoandikoetxea: Fourier Analysis
C. Muscalu and W. Schlag: Classical and Multilinear Harmonic Analysis

E. M. Stein: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
C. Thiele: Wave packet analysis
      See also this survey.


Course Policies
In the first half of the course we will review some topics from the classical Calderon-Zygmund theory. We will discuss the T(1) theorem and paraproducts. The second half of the course will be structured as a reading course. In the first week of April the participants will choose a paper from the above list, which they will present in class. Each participant will give two 60 min lectures. The presentations will start in May. The schedule is announced below.

Course schedule