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Focusing on quaternionic linear operators, this work explores their unique properties compared to complex operators, particularly in the noncommutative realm. It introduces concepts like the S-spectrum and S-resolvent operators while examining de Branges spaces, which serve as quaternionic analogs of analytic function spaces. The study emphasizes specific reproducing kernels in the unit ball or half-space of quaternions, delving into Hilbert, Pontryagin, and Krein spaces and their connections to operator models.
Nákup knihy
Quaternionic de Branges Spaces and Characteristic Operator Function, Daniel Alpay, Fabrizio Colombo, Irene Sabadini
- Jazyk
- Rok vydania
- 2020
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- Titul
- Quaternionic de Branges Spaces and Characteristic Operator Function
- Jazyk
- anglicky
- Vydavateľ
- Springer International Publishing
- Rok vydania
- 2020
- Väzba
- mäkká
- Počet strán
- 128
- ISBN13
- 9783030383114
- Kategórie
- Matematika
- Anotácia
- Focusing on quaternionic linear operators, this work explores their unique properties compared to complex operators, particularly in the noncommutative realm. It introduces concepts like the S-spectrum and S-resolvent operators while examining de Branges spaces, which serve as quaternionic analogs of analytic function spaces. The study emphasizes specific reproducing kernels in the unit ball or half-space of quaternions, delving into Hilbert, Pontryagin, and Krein spaces and their connections to operator models.