MATH 242, Fall 2021
Topics in Harmonic Analysis
Meeting time/location: MWF 10-10:50 in AP&M 5402.
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
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.
HW 1: TBD