MATH 242, Fall 2021
Topics in Harmonic Analysis

Meeting time/location: MWF 10-10:50 in AP&M 5402.

Instructor: Ioan Bejenaru

Office: AP&M 6230
Office Hours: by appointment on Zoom

Textbook: "Classical Fourier Analysis" by Loukas Grafakos. The UCSD library makes the book available electronically.

Additional reading: "Harmonic Analysis" by Elias Stein, Terence Tao's notes .

We will cover the following topics:
Fourier transform in classical and distributional sense, Calderon-Zygmund theory for singular integral operators,
Sobolev spaces using Riesz and Bessel potentials, Littlewood-Paley theory, Oscillatory integrals and applications,
Applications to Partial Differential Equations.

Homework will be assigned biweekly. Working on the Homework is optional.

Notes: To come.