A survey of discrete analogues in harmonic analysis

16 January 2017
16:00
Kevin Hughes
Abstract

In this talk we will motivate and discuss several problems and results in harmonic analysis that involve some arithmetic or discrete structure. We will focus on pioneering work of Bourgain on discrete restriction theorems and pointwise ergodic theorems for arithmetic sets, their modern developments and future directions for the field.

  • Partial Differential Equations Seminar