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Published in:
2020 | OriginalPaper | Chapter
7. J-Contractive Functions
Authors : Daniel Alpay, Fabrizio Colombo, Irene Sabadini
Published in: Quaternionic de Branges Spaces and Characteristic Operator Function
Publisher: Springer International Publishing
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Abstract
As explained in the introduction there are (at least) three important families of reproducing kernel Hilbert spaces introduced by de Branges and Rovnyak, and used in operator models and related topics. In the previous section we studied the quaternionic counterpart of \(\mathcal H(A, B)\) spaces. In this section and in the next one we study \(\mathcal H(\Theta )\) spaces in this setting.