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math.FA2018
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…
math.FA2018
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…