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Quaternionic de Branges Spaces and Characteristic Operator Function

Daniel Alpay , Fabrizio Colombo , Irene Sabadini

This work contributes to the study of quaternionic linear operators.This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In...