Topics in Analysis (511-1-61)

Instructors

Xiumin Du

Meeting Info

Lunt Hall 102: Mon, Wed, Fri 12:00PM - 12:50PM

Overview of class

MATH 511-1: Topics in Analysis
Instructor: Xiumin Du

Textbook: No textbook required. I will very loosely follow Wolff's "Lectures in harmonic analysis".

Prerequisite: Real analysis is recommended.

Course Description: In this course, we'll cover some classic topics in harmonic analysis, including Fourier transform, interpolation, tempered distributions, Hilbert transform, Calderon-Zygmund singular integral operators, Littlewood-Paley theory and multipliers, and stationary phase. If time permits, we'll also briefly discuss Falconer distance set problem, Fourier restriction and Kakeya conjecture.

Registration Requirements

Class requirements: 410-1,2,3, 450-1.

Class Materials (Required)

No textbook required

Class Materials (Suggested)

No materials suggested