64 citations · 426 across the 29 of their papers we have counts for
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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…
math.SP2007★ 38 cited
Non commutative functional calculus: bounded operators
F. Colombo, G. Gentili, I. Sabadini +1
In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the notion of slice-regularity, see \cite{gs},…
math.SP2007★ 50 cited
Non commutative functional calculus: unbounded operators
F. Colombo, G. Gentili, I. Sabadini +1
In a recent work, \cite{cgss}, we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from \cite{cgss…