The orbit-preserving transformation groups associated with a measurable flow

Masasi KOWADA

doi:10.2969/jmsj/02430355

Masasi KOWADA

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JOURNAL FREE ACCESS

1972 Volume 24 Issue 3 Pages 355-373

DOI https://doi.org/10.2969/jmsj/02430355

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Published: 1972 Received: April 10, 1970 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G. A. Hedlund, Transformations commuting with the shift, Topological Dynamics, An international symposium, 1968, 259-289.
2) E. Hopf, Ergodentheorie, Berlin, 1937.
3) A. A. Kirillov, Dynamical system, factors and representations of groups, Russian Math. Surveys, 22, No. 5 (1967).
4) M. Kowada, Spectral type of one-parameter group of unitary operators with transversal group, Nagoya Math. J., 32 (1968), 141-153.
5) G. Maruyama, Theory of stationary processes and ergodic theory, A lecture at the Symposium held at Kyoto Univ., 1960.
6) G. W. Mackey, Infinite-dimensional group representations, Bull. Amer. Math. Soc., 69 (1963), 628-686.
7) V. A. Rohlin, Selected topics from the metric theory of dynamical systems, Uspehi Mat. Nauk., 4, b. 2 (1949), 57-128 (in Russian).
8) Ya. G. Sinai, Dynamical systems with countable Lebesgue spectrum II, Izv. Akad. Nauk SSSR Ser. Mat., 30 (1966), 15-68, (in Russian).
9) H. Totoki, Time changes of flows, Mem. Fac. Sci. Kyushu Univ. Ser. A, 20 (1966), 27-55.
10) V. I. Arnold, Small denominators I, on the mapping of a circle into itself, Izv. Akad. Nauk SSSR Ser. Mat., 25, 1 (1961), 21-86, (in Russian).
11) A. N. Kolmogorov, On dynamical systems with an integral invariant on the torus, Dokl. Akad. Nauk SSSR, 93 (1953), 763-766, (in Russian).
12) V. A. Rohlin and S. V. Formin, Spectral theory of dynamical systems, Trudy tret. Vses. Mat. Cb., 3 (1958), 284-292.

Right : [1] G. A. Hedlund, Transformations commuting with the shift, Topological Dynamics, An international symposium, 1968, 259-289.
[2] E. Hopf, Ergodentheorie, Berlin, 1937.
[3] A. A. Kirillov, Dynamical system, factors and representations of groups, Russian Math. Surveys, 22, No. 5 (1967).
[4] M. Kowada, Spectral type of one-parameter group of unitary operators with transversal group, Nagoya Math. J., 32 (1968), 141-153.
[5] G. Maruyama, Theory of stationary processes and ergodic theory, A lecture at the Symposium held at Kyoto Univ., 1960.
[6] G. W. Mackey, Infinite-dimensional group representations, Bull. Amer. Math. Soc., 69 (1963), 628-686.
[7] V. A. Rohlin, Selected topics from the metric theory of dynamical systems, Uspehi Mat. Nauk., 4, b. 2 (1949), 57-128 (in Russian).
[8] Ya. G. Sinai, Dynamical systems with countable Lebesgue spectrum II, Izv. Akad. Nauk SSSR Ser. Mat., 30 (1966), 15-68, (in Russian).
[9] H. Totoki, Time changes of flows, Mem. Fac. Sci. Kyushu Univ. Ser. A, 20 (1966), 27-55.
[10] V. I. Arnold, Small denominators I, on the mapping of a circle into itself, Izv. Akad. Nauk SSSR Ser. Mat., 25, 1 (1961), 21-86, (in Russian).
[11] A. N. Kolmogorov, On dynamical systems with an integral invariant on the torus, Dokl. Akad. Nauk SSSR, 93 (1953), 763-766, (in Russian).
[12] V. A. Rohlin and S. V. Formin, Spectral theory of dynamical systems, Trudy tret. Vses. Mat. Cb., 3 (1958), 284-292.

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