On the ergodic theorem in the Kozlov-Treshchev form

Doklady Mathematics

Volumn 75, Issue 1, 2007, Pages 47-52

  Bogachev, V I ^a   Korolev, A V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; TOPOLOGY;

ERGODIC SYSTEMS; ERGODIC THEOREM;

THEOREM PROVING;

EID: 33947429311     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562407010140     Document Type: Article

References (9)

1. V. V. Kozlov and D. V. Treshchev, J. Dyn. Control Syst 9, 449-453 (2003).
2. V. V. Kozlov and D. V. Treshchev, Teor. Mat. Fiz. 136, 496-506 (2003).
3. I. P. Cornfeld, Ya. G. Sinai, and S. V. Fomin, Ergodic Theory (Nauka, Moscow, 1980; Springer, New York, 1982).
4. E. Lukacs, Characteristic Functions (Hafner, New York, 1970; Nauka, Moscow, 1979).
5. A. Ya. Khinchin, Continued Fractions (Nauka, Moscow, 1978; Dover, Mineola, 1997).
6. V. I. Bogachev, Foundations of Measure Theory, Vols. 1, 2: Regular and Chaotic Dynamics (Izhevsk, Moscow, 2003; Springer-Verlag, Berlin, 2007).
7. M. A. Krasnosel'skii and Ja. B. Rutickii, Convex Functions and Orlicz Spaces (Fizmatlit, Moscow, 1958; Noordhoff, Groningen, 1961).
8. V. A. Rokhlin, Mat. Sb. 25, 235-249 (1949).
9. N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1: General Theory (Interscience, New York, 1958; Inostrannaya Literatura, Moscow, 1962).