Quantitative Polynomial Wiener-Wintner Theorems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909983724011520 |
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| author | Becker, Lars Jamneshan, Asgar Thiele, Christoph |
| author_facet | Becker, Lars Jamneshan, Asgar Thiele, Christoph |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03999 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative Polynomial Wiener-Wintner Theorems Becker, Lars Jamneshan, Asgar Thiele, Christoph Dynamical Systems Classical Analysis and ODEs 37A30, 37A46, 42B20 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. |
| title | Quantitative Polynomial Wiener-Wintner Theorems |
| topic | Dynamical Systems Classical Analysis and ODEs 37A30, 37A46, 42B20 |
| url | https://arxiv.org/abs/2601.03999 |