Quaternionic de Branges Spaces and Characteristic Operator Function
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Description
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 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, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed.
ISBN
978-3-030-38312-1
Publication Date
2020
Publisher
Springer
City
Cham, Switzerland
Keywords
quaternionic linear operators, quaternions, de Branges spaces
Disciplines
Other Mathematics
Recommended Citation
D. Alpay, F. Colombo, I. Sabadini. Quaternionic de Branges Spaces and Characteristic Operator Function. SpringerBriefs in Mathematics (Springer, Cham, 2020).
Copyright
The authors, under exclusive license to Springer
Comments
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