Anzai skew products with lebesgue component of infinite multiplicity

Bulletin of the London Mathematical Society

Volumn 29, Issue 2, 1997, Pages 195-199

  Iwanik, A ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031091539     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609396002147     Document Type: Article

References (10)

1. H. ANZAI, 'Ergodic skew product transformations on the torus', Osaka Math. J. 3 (1951) 83-99.
2. G. H. CHOE, 'Spectral properties of cocycles', PhD Thesis, University of California, Berkeley, 1987.
3. I. P. CORNFELD, S. V. FOMIN and YA. G. SINAI, Ergodic theory (Springer, New York, 1982).
4. H. FURSTENBERG, 'Strict ergodicity and transformations on the torus', Amer. J. Math. 83 (1961) 573-601.
5. H. HELSON, 'Cocycles on the circle', J. Operator Theory 16 (1986) 189-199.
6. A. IWANIK, M. LEMAŃCZYK and D. RUDOLPH, 'Absolutely continuous cocycles over irrational rotations', Israel J. Math. 83 (1993) 73-95.
7. Y. KATZNELSON, An introduction to harmonic analysis (Dover, New York, 1976).
8. A. G. KUSHNIRENKO, 'Spectral properties of some dynamical systems with polynomial divergence of orbits' (Russian), Vestnik Moscov. Univ. 1-3 (1974) 101-108.
9. M. LEMAŃCZYK and C. MAUDUIT, 'Ergodicity of a class of cocycles over irrational rotations', J. London Math. Soc. (2) 49 (1994) 124-132.
10. A. ZYGMUND, Trigonometric series, Vol. 1 (Cambridge University Press, 1959).