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The limiting behavior of sequences of Moebius transformations. (English) Zbl 0686.40002
The limiting behavior of sequences of Möbius transformations in several dimensions is studied. Notions of ‘convergence’ defined recently in connection with continued fractions are transferred to this situation and are characterized in terms of the Poincaré extension. Adapted versions of the limit set and the radial limit set known in the theory of Kleinian groups are utilized.
Reviewer: B.Aebischer

40A99 Convergence and divergence of infinite limiting processes
40A15 Convergence and divergence of continued fractions
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