Abstract
AbstractIn this paper we introduce the concept of matrix-valued q-rational functions. In comparison to the classical case, we give different characterizations with principal emphasis on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna–Pick kernels in the context of q-deformed reproducing kernel Hilbert spaces and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna–Pick kernels.
Funder
Fundação para a Ciência e a Tecnologia
Fonds Wetenschappelijk Onderzoek
Publisher
Springer Science and Business Media LLC
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