Quantitative Polynomial Wiener-Wintner Theorems
Abstract
We prove quantitative polynomial Wiener--Wintner theorems in a very general setup, including measure-preserving actions of nilpotent Lie groups. Our results apply both to ergodic averages and to averages with singular integral weights. The proof relies on the generalized polynomial Carleson theorem developed in the companion paper by van Doorn, Srivastava, and the authors.
Fields of Study & Subjects
Holomorphic and Operator Theory
Geometry and complex manifolds
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint