Spectral characterization of Wiener-Wintner dynamical systems;Caractérisation spectrable des systémes dynamiques du type Wiener-Wintner

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 332, Issue 4, 2001, Pages 321-324

  Assani, Idris ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642386604     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)01818-8     Document Type: Article

References (10)

1. Assani I., Wiener-Wintner Dynamical Systems, Preprint, 1998.
2. Assani I., Spectral Characterization of Wiener-Wintner Dynamical Systems, Prépublications IRMA, Strasbourg, 2000.
3. Assani I., Nicolaou K., Properties of Wiener-Wintner Dynamical Systems, Preprint, 1999 (submitted).
4. Bourgain J., Double récurrence and almost sure convergence, J. Für die Reine und Angewandte Mathematik 404 (1990) 140-161.
5. Bourgain J., Furstenberg H., Katznelson Y., Ornstein D., Appendix to J. Bourgain, Pointwise Ergodic Theorems for Arithmetic Sets, IHES, 1989.
6. Kachurovski A., The rate of convergence in ergodic theorems, Russ. Math. Surveys 51 (4) 73-124.
7. Kahane J.-P., Salem R., Ensembles Parfaits et Séries Trigonométriques, Hermann, Paris, 1963.
8. Salem R., Zygmund A., Capacity of sets and Fourier series, Trans. Amer. Math. Soc. 59 (1946).
9. Wiener N., Wintner A., Harmonic analysis and ergodic theory, Amer. J. Math. 63 (1941) 415-426.
10. Zygmund A., Trigonometric Series, Cambridge University Press.