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.
|Number of pages||20|
|Journal||Monatshefte für Mathematik|
|Publication status||Published - 1988 Jun 1|
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