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.
|Number of pages||17|
|Journal||Keio Eng Rep|
|Publication status||Published - 1977 Jan 1|
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