108 citations · 529 across the 96 of their papers we have counts for
6 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…
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…
Beurling-Lax type theorems in the complex and quaternionic setting: the half-space case
Daniel Alpay, Irene Sabadini
We give a generalization of the Beurling-Lax theorem both in the complex and quaternionic settings. We consider in the first case functions meromorphic in the right complex half-pl…
Wiener algebra for the quaternions
Daniel Alpay, Fabrizio Colombo, David P. Kimsey +1
We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factoriz…