Real Analysis, Harmonic Analysis, and Applications
Abstract
This workshop in real and harmonic analysis surveyed recent investigations in areas including geometric measure theory and restriction theory, multiple ergodic averages, local smoothing estimates, Schrödinger and Hörmander-type oscillatory integral operators, multilinear estimates and analysis on the Hamming cube. In particular, the workshop emphasized the recent solutions of two longstanding problems: the Kakeya phenomenon in dimension three, and almost everywhere convergence of long time averages associated to multiple commuting measure-preserving transformations. The methods presented during the workshop have yielded applications in ergodic theory, number theory, and computer science.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Analysis and Transform Methods
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Oberwolfach Reports
- Volume
- 22
- Issue
- 3
- Pages
- 1707–1752
- Publication date
- 16 February 2026
- Language
- EN