Titlebook: Quaternionic de Branges Spaces and Characteristic Operator Function; Daniel Alpay,Fabrizio Colombo,Irene Sabadini Book 2020 The Author(s),

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Daniel Alpay,Fabrizio Colombo,Irene Sabadiniearchers, and engineers, in the man-made fibre and textile industry as well as to teachers and students of the relevant graduated and undergraduated courses in textile engineering and polymer physics including the accessory mechanical engineering..978-3-642-07963-4978-3-540-46223-1

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Daniel Alpay,Fabrizio Colombo,Irene Sabadiniearchers, and engineers, in the man-made fibre and textile industry as well as to teachers and students of the relevant graduated and undergraduated courses in textile engineering and polymer physics including the accessory mechanical engineering..978-3-642-07963-4978-3-540-46223-1

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Daniel Alpay,Fabrizio Colombo,Irene Sabadiniearchers, and engineers, in the man-made fibre and textile industry as well as to teachers and students of the relevant graduated and undergraduated courses in textile engineering and polymer physics including the accessory mechanical engineering..978-3-642-07963-4978-3-540-46223-1

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2191-8198 ic operator functions of an operator. In particular, we prove the counterpart of Potapov‘s factorization theorem in this framework. Besides other topics, we con978-3-030-38311-4978-3-030-38312-1Series ISSN 2191-8198 Series E-ISSN 2191-8201

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Quaternionic de Branges Spaces and Characteristic Operator Function

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Book 2020 J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov‘s factorization theorem in this framework. Besides other topics, we con

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2191-8198 tive setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels