108 citations · 443 across the 80 of their papers we have counts for
4 papers · 2 filters
The functional calculus based on the -spectrum for quaternionic operators and for -tuples of noncommuting operators
D. Alpay, F. Colombo, T. Qian +1
In this paper we extend the functional calculus to quaternionic operators and to -tuples of noncommuting operators using the theory of slice hyperholomorphic function…
Schatten class and Berezin transform of quaternionic linear operators
Fabrizio Colombo, Jonathan Gantner, Tim Janssens
In this paper we introduce the Schatten class of operators and the Berezin transform of operators in the quaternionic setting. The first topic is of great importance in operator th…
Fractional powers of quaternionic operators and Kato's formula using slice hyperholomorphicity
Fabrizio Colombo, Jonathan Gantner
In this paper we introduce fractional powers of quaternionic operators. Their definition is based on the theory of slice-hyperholomorphic functions and on the -resolvent operato…
On power series expansions of the S-resolvent operator and the Taylor formula
Fabrizio Colombo, Jonathan Gantner
The -functional calculus is based on the theory of slice hyperholomorphic functions and it defines functions of -tuples of not necessarily commuting operators or of quaternio…