MATH6081A - Topics in Analysis I - 2017/18

Course Name: 
Course Year: 


  • There will be no class on September 7. The first class will start on September 14.

General Information


  • Yung, Po Lam
    • Office: LSB 234

Time and Venue

  • Lecture: Thursdays 3:30pm-6:15pm, LSB C5

Course Description

In this topics course, we will start with some basics of harmonic analysis (such as maximal functions, singular integrals and oscillatory integrals), and move on to more advanced topics of recent research interest (possible topics include the Fourier restriction problem, the Kakeya problem, and some related multilinear oscillatory integral operators). The basic references are

J. Duoandikoetxea, "Fourier Analysis"

E.M. Stein, "Singular integrals and differentiability properties of functions"

E.M. Stein, "Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals"

T. Wolff, "Lectures on Harmonic Analysis"

and additional references (in the form of more recent research papers) will be given for the more advanced topics along the way.

Prerequisites: We assume familiarity with basic real analysis, complex analysis and functional analysis.

Lecture Notes


Last updated: September 12, 2017 15:22:56