Uniformity in the polynomial Wiener-Wintner theorem

Ergodic Theory and Dynamical Systems

Volumn 26, Issue 4, 2006, Pages 1061-1071

  Frantzikinakis, Nikos ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745945858     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/S0143385706000204     Document Type: Article

References (6)

1. I. Assani. Wiener Wintrier Ergodic Theorems. World Scientific Publishing Co. Inc., River Edge, NJ, 2003.
2. L. M. Abramov. Metric automorphisms with quasi-discrete spectrum. Izv. Akad. Nauk SSSR Ser. Mat. 26 (1962), 513-530.
3. L. Kuipers and H. Niederreitter. Uniform Distribution of Sequences. Wiley, New York, 1974.
4. E. Lesigne. Un théorème de disjonction de systèmes dynamiques et une généralisation du théorème ergodique de Wiener-Wintner. Ergod. Th. & Dynam. Sys. 10 (1990), 513-521.
5. E. Lesigne. Spectre quasi-discret et théorème ergodique de Wiener-Wintner pour les polyno̊mes. Ergod. Th. & Dynam. Sys. 13 (1993), 767-784.
6. N. Wiener and A. Wintner. Harmonic analysis and ergodic theory. Amer. J, Math. 63 (1941), 415-426.