108 citations · 529 across the 96 of their papers we have counts for
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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},…
Slice monogenic functions
F. Colombo, I. Sabadini, D. C. Struppa
In this paper we offer a definition of monogenicity for functions defined on $\rr^{n+1}$ with values in the Clifford algebra $\rr_n$ following an idea inspired by the recent papers…
A new functional calculus for non-commuting operators
F. Colombo, I. Sabadini, D. C. Struppa
In this paper we use the notion of slice monogenic functions \cite{slicecss} to define a new functional calculus for an -tuple of not necessarily commuting operators. This c…
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…