### 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 |
---|---|

Pages (from-to) | 159-175 |

Number of pages | 17 |

Journal | Keio Eng Rep |

Volume | 30 |

Issue number | 13 |

Publication status | Published - 1977 Nov |

Externally published | Yes |

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Keio Eng Rep*,

*30*(13), 159-175.

**ON THE INVARIANT MEASURE FOR THE TRANSFORMATIONS ASSOCIATED WITH SOME REAL CONTINUED-FRACTIONS.** / Nakada, Hitoshi; Ito, Shunji; Tanaka, Shigeru.

Research output: Contribution to journal › Article

*Keio Eng Rep*, vol. 30, no. 13, pp. 159-175.

}

TY - JOUR

T1 - ON THE INVARIANT MEASURE FOR THE TRANSFORMATIONS ASSOCIATED WITH SOME REAL CONTINUED-FRACTIONS.

AU - Nakada, Hitoshi

AU - Ito, Shunji

AU - Tanaka, Shigeru

PY - 1977/11

Y1 - 1977/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0017550319&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017550319&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0017550319

VL - 30

SP - 159

EP - 175

JO - Keio Engineering Reports

JF - Keio Engineering Reports

SN - 0368-5152

IS - 13

ER -