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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