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

Hitoshi Nakada, Shunji Ito, Shigeru Tanaka

研究成果: Article査読

43 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)159-175
ページ数17
ジャーナルKeio Eng Rep
30
13
出版ステータスPublished - 1977

ASJC Scopus subject areas

  • 工学(全般)

引用スタイル