Pointwise convergence of averages along cubes
| dc.creator | Assani, Idris | |
| dc.date | 2003-05-27 | |
| dc.date | 2003-11-23 | |
| dc.date.accessioned | 2026-07-07T04:58:19Z | |
| dc.date.available | 2026-07-07T04:58:19Z | |
| dc.description | Let $(X,\mathcal{B},μ, T)$ be a measure preserving system. We prove the pointwise convergence of the averages $$\frac{1}{N^2}\sum_{n,m= 0}^{N-1} f_1(T^nx)f_2(T^mx)f_3(T^{n+m}x)$$ and of similar averages with seven bounded functions. | |
| dc.description | 18 pages, latex, We have replaced Lemma 2 with a new one. We also have added a reference | |
| dc.identifier | https://arxiv.org/abs/math/0305388 | |
| dc.identifier | http://arxiv.org/abs/math/0305388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67590 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A30 | |
| dc.title | Pointwise convergence of averages along cubes | |
| dc.type | text |