Abstract
In the complex setting \(\mathcal H(A, B)\) spaces, that is, reproducing kernel spaces with reproducing kernel of the form (1.4) (or their analogues with denominator replaced by \(1-z\overline{w}\)) play an important role in the theory of operator models and related topics. In this section we focus on \(\mathcal H(A, B)\) spaces in the quaternionic context.
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Alpay, D., Colombo, F., Sabadini, I. (2020). Structure Theorems for \(\mathcal H(A, B)\) Spaces. In: Quaternionic de Branges Spaces and Characteristic Operator Function. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-38312-1_6
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DOI: https://doi.org/10.1007/978-3-030-38312-1_6
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