108 citations · 443 across the 80 of their papers we have counts for
9 papers · 1 filter
Entire slice regular functions
Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
Entire functions in one complex variable are extremely relevant in several areas ranging from the study of convolution equations to special functions. An analog of entire functions…
Adaptive orthonormal systems for matrix-valued functions
D. Alpay, F. Colombo, T. Qian +1
In this paper we consider functions in the Hardy space defined in the unit disc of matrix-valued. We show that it is possible, as in the scalar case, to…
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…
The mathematics of superoscillations
Y. Aharonov, F. Colombo, I. Sabadini +2
In the past 50 years, quantum physicists have discovered, and experimentally demonstrated, a phenomenon which they termed superoscillations. Aharonov and his collaborators showed t…
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…