The field of Harmonic Analysis dates back to the 19th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform. In recent decades, the subject has undergone a rapid diversification and expansion, though the decomposition of functions and operators into simpler parts remains a central tool and theme.
This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions:
-Restriction, Kakeya, and Geometric Incidence Problems
-Analysis on Nonhomogeneous Spaces
-Weighted Norm Inequalities
-Quantitative Rectifiability and Elliptic PDE
Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory. In particular, we expect a lively interaction with the concurrent program.
geometric measure theory
nonhomogeneous harmonic analysis
|January 19, 2017 - January 20, 2017||Connections for Women: Harmonic Analysis|
|January 23, 2017 - January 27, 2017||Introductory Workshop: Harmonic Analysis|
|May 15, 2017 - May 19, 2017||Recent Developments in Harmonic Analysis|