Topics in Harmonic Analysis

E-mail: ibejenaru@ucsd.edu

Office Hours: by appointment

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

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.

HW 2: 4.3: 1,2,9; from Tao's notes (#4): Q1,Q2,Q4,Q10

HW 3: 6.2: 1,2,3,5,8,9,12