### Abstract

Two types of real continued-fraction expansions, one of which is the real part of the complex continued-fraction expansion of A. Hurwitz are introduced. For the transformations associated with these expansions, the authors determine the precise form of invariant measures according to the method of P. Levy for the case of the simple continued-fraction. Moreover, the mathematical meaning of the method of P. Levy is elucidated.

Original language | English |
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Pages (from-to) | 159-175 |

Number of pages | 17 |

Journal | Keio Eng Rep |

Volume | 30 |

Issue number | 13 |

Publication status | Published - 1977 Jan 1 |

### ASJC Scopus subject areas

- Engineering(all)

## Cite this

Nakada, H., Ito, S., & Tanaka, S. (1977). ON THE INVARIANT MEASURE FOR THE TRANSFORMATIONS ASSOCIATED WITH SOME REAL CONTINUED-FRACTIONS.

*Keio Eng Rep*,*30*(13), 159-175.