抄録
We construct a natural extension transformation associated with A. Schmidt's complex continued fractions. The transformation is defined on a subset of geodesics over a three dimensional hyperbolic space and an invariant measure for it is naturally induced from the hyperbolic measure. We discuss some applications of it to the metrical theory of continued fractions.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 131-150 |
| ページ数 | 20 |
| ジャーナル | Monatshefte für Mathematik |
| 巻 | 105 |
| 号 | 2 |
| DOI | |
| 出版ステータス | Published - 1988 6月 1 |
ASJC Scopus subject areas
- 数学 (全般)