108 citations · 529 across the 96 of their papers we have counts for
8 papers · 2 filters
On Some Geometric Properties of Slice Regular Functions of a Quaternion Variable
Sorin G. Gal, J. Oscar González-Cervantes, Irene Sabadini
The goal of this paper is to introduce and study some geometric properties of slice regular functions of quaternion variable like univalence, subordination, starlikeness, convexity…
Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomorphic setting which is more general than the one proved in [D. Alpay, F. Colombo,…
The C-property for slice regular functions and applications to the Bergman space
Fabrizio Colombo, J. Oscar Gonzales-Cervantes
This paper has a twofold purpose: on one hand we deepen the study of slice regular functions by studying their behavior with respect to the so-called C-property and anti-C-property…
The Fock space in the slice hyperholomorphic setting
Daniel Alpay, Fabrizio Colombo, Irene Sabadini +1
In this paper we introduce and study some basic properties of the Fock space (also known as Segal-Bargmann space) in the slice hyperholomorphic setting. We discuss both the case of…
Approximation by polynomials on quaternionic compact sets
Sorin G. Gal, Irene Sabadini
In this paper we obtain several extensions to the quaternionic setting of some results concerning the approximation by polynomials of functions continuous on a compact set and holo…
Further properties of the Bergman spaces of slice regular functions
Fabrizio Colombo, J. Oscar Gonzalez-Cervantes, Irene Sabadini
In this paper we continue the study of Bergman theory for the class of slice regular functions. In the slice regular setting there are two possibilities to introduce the Bergman sp…