108 citations · 529 across the 96 of their papers we have counts for
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The Fock space as a de Branges-Rovnyak space
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
We show that de Branges-Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy-Sobolev space and the Dirichlet space. We pre…
Polynomial approximation in slice regular Fock spaces
Kamal Diki, Sorin G. Gal, Irene Sabadini
The main purpose of this paper is to prove some density results of polynomials in Fock spaces of slice regular functions. The spaces can be of two different kinds since they are eq…
On slice polyanalytic functions of a quaternionic variable
Daniel Alpay, Kamal Diki, Irene Sabadini
In this paper, we introduce the quaternionic slice polyanalytic functions and we prove some of their properties. Then, we apply the obtained results to begin the study of the quate…
Positive and generalized positive real lemma for slice hyperholomorphic functions
D. Alpay, F. Colombo, I. Lewkowicz +1
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic function…
Realizations of holomorphic and slice hyperholomorphic functions: the Krein space case
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
In this work we treat realization results for operator-valued functions which are analytic in the complex sense or slice hyperholomorphic over the quaternions. In the complex setti…