Quantitative Polynomial Wiener-Wintner Theorems
Dynamical Systems
2026-01-08 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2601.03999,
title = {Quantitative Polynomial Wiener-Wintner Theorems},
author = {Lars Becker and Asgar Jamneshan and Christoph Thiele},
journal= {arXiv preprint arXiv:2601.03999},
year = {2026}
}
Comments
27 pages