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math.CV2012★ 18 cited
Regular vs. classical Möbius transformations of the quaternionic unit ball
Cinzia Bisi, Caterina Stoppato
The regular fractional transformations of the extended quaternionic space have been recently introduced as variants of the classical linear fractional transformations. These varian…
math.CV2012★ 36 cited
The Schwarz-Pick lemma for slice regular functions
Cinzia Bisi, Caterina Stoppato
The celebrated Schwarz-Pick lemma for the complex unit disk is the basis for the study of hyperbolic geometry in one and in several complex variables. In the present paper, we turn…