Spectral singularity of anzai skew products associated with step functions;Singularité des produits de anzai associés aux fonctions caractéristiques d'un intervalle

Bulletin de la Societe Mathematique de France

Volumn 127, Issue 1, 1999, Pages 71-93

  Guenais, Mélanie ^a  

^a UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347595365     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2342     Document Type: Article

References (16)

1. GOODSON (G.R.). - Approximations and spectral theory of finite skew products, J. London Math. Soc., t. 14, 1976, p. 249-259.
2. GUENAIS (M.). - Une majoration de la multiplicité spectrale d'opérateurs associés à des cocycles réguliers, Israel J. Math., t. 105, 1998, p. 263-283.
3. HELSON (H.). - Cocycles on the circle, J. Operator Theory, t. 16, 1986, p. 189-199.
4. HOST (B.), MÉLA (J.F.), PARREAU (F.). - Non singular transformations and spectral analysis of measures, Bull. Soc. Math. France, t. 119, 1991, p. 33-90.
5. HOST (B.), PARREAU (F.). - The generalized purity law for ergodic measures : a simple proof, Colloq. Math., t. 60, 1990, p. 205-212.
6. IWANIK (A.), LEMAŃCZYK (M.), MAUDUIT (C.). - Piecewise absolutely continuous cocycles over irrational rotations, à paraître dans J. London Math. Soc..
7. KWIÁTKOWSKI JR (J.), LEMAŃCZYK (M.). - On the multiplicity function of ergodic group extensions, II, Studia Math., t. 116, 1995, p. 207-215.
8. KATOK (A.B.), STEPIN (A.M.). - Approximations of ergodic dynamic systems by periodic transformations, Soviet. Math. Dokl., t. 7, 1966, p. 1638-1641.
9. KATOK (A.B.), STEPIN (A.M.). - Approximations in ergodic theory, Russian Math. Surveys, t. 22, 1967, p. 77-102.
10. KHINCHIN (A.). - Continued Fractions. - University of Chicago Press, 1964.
11. MERRILL (K.D.). - Cohomology of step functions under irrational rotations, Israel J. Math., t. 52, 1985, p. 320-340.
12. OSELEDETS (V.I.). - The spectrum of ergodic automorphisms, Soviet. Math. Dokl., t. 7, 1966, p. 776-779.
13. QUEFFÉLEC (M.). - Substitution Dynamical Systems, Spectral Analysis, in A. Dold and B. Eckmann, eds, Lecture Notes in Mathematics, vol. 1294, Springer-Verlag, 1987.
14. RAUZY (G.). - Échanges d'intervalles et transformations induites, Acta Arithmetica, t. 34, 1979, p. 315-328.
15. RILEY (G.W.). - On spectral properties of skew products over irrational rotations., J. London Math. Soc., t. 17, 1978, p. 152-160.
16. VEECH (W.A.). - Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem modulo 2, Trans. Amer. Math. Soc., t. 140, 1969, p. 1-33.