15 citations · 15 across the 2 of their papers we have counts for
2 papers
math.CV2008★ 15 cited
Möbius transformations and the Poincaré distance in the quaternionic setting
Cinzia Bisi, Graziano Gentili
In the space $\hh$ of quaternions, we investigate the natural, invariant geometry of the open, unit disc $Δ_{\hh}$ and of the open half-space $\hh^{+}$. These two domains are diffe…
math.CV2007
Valiron's construction in higher dimension
Filippo Bracci, Graziano Gentili, Pietro Poggi-Corradini
We consider holomorphic self-maps $\v$ of the unit ball $\B^N$ in $\C^N$ (). In the one-dimensional case, when $\v$ has no fixed points in $\D\defeq \B^1$ and is of hy…