Proceedings of the Japan Academy

Properties of ergodic affine transformations of locally compact groups, I

Ryotaro Sato

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 46, Number 3 (1970), 231-235.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195520396

Digital Object Identifier
doi:10.3792/pja/1195520396

Mathematical Reviews number (MathSciNet)
MR0274720

Zentralblatt MATH identifier
0203.44004

Subjects
Primary: 28.70

Citation

Sato, Ryotaro. Properties of ergodic affine transformations of locally compact groups, I. Proc. Japan Acad. 46 (1970), no. 3, 231--235. doi:10.3792/pja/1195520396. https://projecteuclid.org/euclid.pja/1195520396


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References

  • [1] P. R. Halmos; Lectures on Ergodic Theory. Tokyo (1956).
  • [2] M. Rajagopalan: Ergodic properties of automorphisms of a locally compact group. Proc. Amer. Math. Soc, 17, 372-376 (1966).
  • [3] M. Rajagopalan and B. Schreiber: Ergodic properties of automorphisms of a locally compact group. II (to appear).
  • [4] W. Rudin: Fourier Analysis on Groups. New York (1962).
  • [5] R. Sato: Continuous affine transformations of locally compact totally disconnected groups. Proc. Japan Acad., 46, 143-146 (1970).

See also

  • Part II: Ryotaro Sato. Properties of ergodic affine transformations of locally compact groups, II. Proc. Japan Acad., Volume 46, Number 3 (1970), 236--238.
  • Part III: Ryotaro Sato. Properties of ergodic affine transformations of locally compact groups, III. Proc. Japan Acad., Volume 47, Number 2 (1971), 163--166.